A) 0
B) \[f(x)\]
C) \[g(x)\]
D) None of these
Correct Answer: B
Solution :
[b] Given that, x > 0 and g(x) is bounded function. \[Limit=\underset{n\to \infty }{\mathop{\lim }}\,\frac{f(x){{e}^{nx}}+g(x)}{{{e}^{nx}}+1}\] \[=\underset{n\to \infty }{\mathop{\lim }}\,\frac{f(x)}{1+\left( \frac{1}{{{e}^{nx}}} \right)}+\frac{g(x)}{{{e}^{nx}}+1}=\frac{f(x)}{1+0}+\frac{finite}{\infty }\] \[=f(x)\]You need to login to perform this action.
You will be redirected in
3 sec