# Math Help - How to find x(0) for X(s)

1. ## How to find x(0) for X(s)

Plz help me to select correct option

2. ## Re: How to find x(0) for X(s)

Use the Initial Value Theorem (scroll down).

3. ## Re: How to find x(0) for X(s)

Thanks can u kindly further explain and tell me answer
i am getting infinity/infinity

plz guide me

4. ## Re: How to find x(0) for X(s)

I have solved it with initial value theorem , kindly cross check it

s^2 (s^-1+10s^-2) / s^3 (1+s^-2+4s^-3)

now sF(s)

i am left with
(s^-1+10s^-2) / s^3 (1+s^-2+4s^-3)

and now putting s--->infinity
0/1= 0

so x(0) = 0 Is this correct answer plz tell me

5. ## Re: How to find x(0) for X(s)

Originally Posted by moonnightingale
I have solved it with initial value theorem , kindly cross check it

s^2 (s^-1+10s^-2) / s^3 (1+s^-2+4s^-3)

now sF(s)

i am left with
(s^-1+10s^-2) / s^3 (1+s^-2+4s^-3)

and now putting s--->infinity
0/1= 0

so x(0) = 0 Is this correct answer plz tell me
$\lim_{s\to\infty}\frac{s(s+10)}{s^{3}+s+4}=\lim_{s \to\infty}\frac{s^{2}+10s}{s^{3}+s+4}=\lim_{s\to \infty}\frac{s^{-1}+10s^{-2}}{1+s^{-2}+4s^{-3}}.$