Find the Limit (If It Exists) $\lim _ { x \rightarrow 0 } \frac { \frac { 5 } { x + 5 } - 1 } { x }$

question 67

Multiple Choice

Find the limit (if it exists) .Use a graphing utility to verify your result graphically. $\lim _ { x \rightarrow 0 } \frac { \frac { 5 } { x + 5 } - 1 } { x }$

• A) \(\lim _ { x \rightarrow 0 } \frac { \frac { 5 } { x + 5 } - 1 } { x } = - \frac { 1 } { 5 }\)
• B) \(\lim _ { x \rightarrow 0 } \frac { \frac { 5 } { x + 5 } - 1 } { x } = 5\)
• C) \(\lim _ { x \rightarrow 0 } \frac { \frac { 5 } { x + 5 } - 1 } { x } = \frac { 1 } { 5 }\)
• D) \(\lim _ { x \rightarrow 0 } \frac { \frac { 5 } { x + 5 } - 1 } { x } = - \frac { 1 } { \sqrt { 5 } }\)
• E) \(\lim _ { x \rightarrow 0 } \frac { \frac { 5 } { x + 5 } - 1 } { x } = - \sqrt { 5 }\)

Apply rules of inference to determine the validity of arguments.

Recognize various logical fallacies and valid argument forms.

Differentiate between valid and invalid arguments based on their logical structure.

Deduce conclusions from given premises using logical rules.

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