A) \[1/2\]
B) \[-1/2\]
C) \[1\]
D) None of these
Correct Answer: C
Solution :
\[\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{x}^{n}}}{{{x}^{n}}+1}=\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{x}^{n}}}{(1+1/{{x}^{n}}){{x}^{n}}}\] \[=\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{1+\frac{1}{{{x}^{n}}}}=1\]You need to login to perform this action.
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