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  • Choose the correct answer out of 4 options given against each Question 〖lim〗┬(x→0) ((1+x)^n-1)/x is

Choose the correct answer out of 4 options given against each Question

\mathop{\lim }_{x \rightarrow 0}\frac{ \left( 1+x \right) ^{n}-1}{x}~ is

A. n
B. 1
C. –n
D. 0

Answers (1)

\\ \mathop{\lim }_{x \rightarrow 0}\frac{ \left( 1+x \right) ^{n}-1}{x}=\mathop{\lim }_{x \rightarrow 0}\frac{ \left( 1+x \right) ^{n}-1^{n}}{ \left( 1+x \right) -1}=n \left( 1 \right) ^{n-1}=n \\ \\

Hence, the answer is option A

Posted by

infoexpert21

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