PUNE MCA Exam 2017 Question Paper with answers for online practice

Question : 26 of 41

Marks: +1, -0

\lim\limits_{x\to\infty}(2x)^x

Solution:

Concept:

The limit involves a base and exponent both tending to infinity, leading to unbounded growth.

Explanation:

x \to \infty

, the base

2x \to \infty

and the exponent

x \to \infty

Thus

(2x)^x \to \infty

, which is not a finite number.

Therefore, the limit does not exist (it diverges to infinity).

Answer:

Option C: does not exist.

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