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

1 Answer
Jun 4, 2018

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 !