Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Your answer is correct. Evaluate the following limit. lim n → [infinity] an + 1 an Since lim n → [infinity] an + 1 an 1,

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form

If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.

Consider the given series . In this case, , so , consider the limit

Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test

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step-by-step explanation: