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

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

\mathop{\lim }_{x \rightarrow 1}\frac{x^{m}-1}{x^{n}-1} is

A. 1

B. \frac{m}{n}
C. -\frac{m}{n}
D. \frac{m^2}{n^2}

Answers (1)

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

Hence, the answer is option B

Posted by

infoexpert21

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