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Complete the Table by Computing at the Given Values

question 67

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Complete the table by computing Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ at the given values of Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ . Use these results to estimate at Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ if it exists. Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ 6.9 6.99
6) 999
7) 001
7) 01
7) 1 Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ Complete the table by computing   at the given values of   . Use these results to estimate at   if it exists.     6.9 6.99 6) 999 7) 001 7) 01 7) 1             ​​ A)  ​   6.9 6.99 6.999 7.001 7.01 7.1   53.91 55.7901 55.979001 56.007001 56.0701 56.71 ​ ​   ​ B)  ​​   6.9​ 6.99 6.999 ​7.001 7.01 7.1   54.61 55.8601 55.986001 56.014001 56.1401 57.41   ​ C)  ​​   6.9 6.99 6.999 7.001 7.01 7.1   54.41 55.8401 55.984001 56.012001 56.1201 57.21 ​ ​   ​ D)  ​   6.9 6.99 6.999 7.001 7.01 7.1   55.01 55.9001 55.990001 56.018001 56.1801 57.81 ​The limit does not exist.​ ​​


Definitions:

Objects

Physical items that occupy space and can be perceived by one or more senses; can also refer to goals or targets in various contexts.

Formal Operational Stage

The last stage in Piaget's theory of cognitive development, characterized by the ability to think logically about abstract concepts.

Abstract Thinking

The ability to think about objects, principles, and ideas that are not physically present.

Logical Thinking

The process of using systematic reasoning to reach a conclusion or solve problems.

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