Question

Lim x—>4 ( x^(5/2) - 4^(5/2) )/ (x-4) Answer Value ..?

Answer 1

`lim_(x to 4)(x^(5/2)-4^(5/2))/(x-4)=20`

Explanation:

`lim_(x to 4)(x^(5/2)-4^(5/2))/(x-4)`
Because `lim=0/0`, using L'Hôpital rule :
`=lim_(x to 4) (5/2x^(3/2))/1`
`=5/2*4sqrt(4)=20`
\0/ here's our answer !