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How to solve this problem?

How to solve this problem?-example-1
User Markwilde
by
5.9k points

2 Answers

4 votes

Answer:

cannot be determined

Explanation:

If we have,
\lim_(n \to \infty) {1+(1)/(n)}

We plug in infinity for n directly

1/∞ =0

So when we plug in infinity for n then 1/n becomes 0


\lim_(n \to \infty) {1+(1)/(n)}


{1+(1)/(infinity)}

1+ 0 = 1

In our problem , limit says x-> ∞

there is no x term inside


\lim_(x \to \infty) {1+(1)/(n)}

so we can clearly say limit cannot be determined

User Sonle
by
5.2k points
4 votes

Answer:

Can not be determined.

Explanation:

We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.

Hence, option C is correct i.e. the limit can not be determined.

User Pyromancer
by
5.4k points