Determine the Convergence or Divergence of the Sequence with the Given

question 2

Multiple Choice

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

• A) The sequence diverges.
• B) The sequence converges to 2.
• C) The sequence converges to -1.
• D) The sequence converges to 1.
• E) The sequence converges to 0.

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Definitions:

Extraneous Solutions

Extraneous solutions are solutions that arise in the process of solving an equation but do not satisfy the original equation.

Equation

An affirmation in mathematics that posits the equality of two different expressions.

Directly

Directly refers to a manner of action or occurrence that happens without any intervening factors or steps.

Square

A mathematical operation involving multiplying a number by itself, or a geometric figure with four equal sides and four right angles.