Find the Value of the Limit $\lim _ { x \rightarrow 0 } \left( 1 + x ^ { 2 } \right) ^ { \frac { 1 } { x } }$

question 148

Short Answer

Find the value of the limit $\lim _ { x \rightarrow 0 } \left( 1 + x ^ { 2 } \right) ^ { \frac { 1 } { x } }$ . Use L'Hospital's Rule, if applicable.

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Definitions:

Alpha

The significance level in hypothesis testing, representing the probability of making a Type I error.

Free Throw Percentage

A statistical measure in basketball representing the ratio of free throws made to free throws attempted.

Proficiency

The ability to do something very well because of training and practice.

Power of the Test

The probability of correctly rejecting a false null hypothesis, indicating a test's ability to detect an effect if there is one.