- #1

abhineetK

- 18

- 0

## Homework Statement

What is the value of

lim {(1/x)

^{sinx}+(sinx)

^{1/x}} ,x>0 ?

x->0

## Homework Equations

??

## The Attempt at a Solution

lim {(1/x)

^{sinx}+(sinx)

^{1/x}}

x->0

=lim (1/x)

^{sinx}+lim (sinx)

^{1/x}

..x->0...x->0

Let A=lim (1/x)

^{sinx}

...x->0

and B=lim (sinx)

^{1/x}

...x->0

logA=lim (sinx)log(1/x)=0

...x->0

=>A=e

^{0}=1

logB=lim (1/x)log(sinx)=infinity

...x->0

=>B=infinity

**The problem is that the answer is 0.**

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