info@clay6.com
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

If $\lim\limits_{x\to \infty}\big(1+\large\frac{a}{x}+\frac{b}{x^2}\big)^{2x}$$=e^2$ then the value of a and b are

$\begin{array}{1 1}(a)\;a\in R,b\in R&(b)\;a=1,b\in R\\(c)\;a\in R,b=2&(d)\;a=1\;and\;b=2\end{array}$

1 Answer

Comment
A)
Need homework help? Click here.
$\lim\limits_{x\to \infty}\big(1+\large\frac{a}{x}+\frac{b}{x^2}\big)^{2x}$$=e^2$
$\Rightarrow e^{\Large\lim\limits_{x\to \infty}\big(\Large\frac{a}{x}+\frac{b}{x^2}\big)^{2x}}$$=e^2$
$\Rightarrow e^{2a}=e^2$
$\Rightarrow a=1,b\in R$
Hence (b) is the correct answer.
Home Ask Homework Questions
...