A) No value of n
B) All values of n
C) Only negative values of n
D) Only positive values of n
Correct Answer: B
Solution :
\[\underset{n\to \infty }{\mathop{Lim}}\,\,\,\frac{{{x}^{n}}}{{{e}^{x}}}=0\]is not an indeterminate form for \[n\le 0\]\[\Rightarrow \] Limit is equal to zero for n>0 \[\underset{n\to \infty }{\mathop{Lim}}\,\,\,\frac{{{x}^{n}}}{{{e}^{x}}}=\underset{n\to \infty }{\mathop{Lim}}\,\frac{n\,\,(n-1)\,\,(n-2)......1}{{{e}^{x}}}=0\]
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