For 

The correct answer is: e^-5

In this question we have to find the limit of 
Step1: Rearranging the equation
By dividing by  in both numerator and denominator we get,

By putting the value of limit we are getting  form.
Step2: Using Standard limits
We know that 

=> 
=> 
=> 
=>
By putting the value of limits we get

Hence, the value of limit us .