Question

explain the second step
http://www4d.wolframalpha.com/Calculate/MSP/MSP149919g7522b2h36102600004d5cb32281ic81e5?MSPStoreType=image/gif&s=4&w=440&h=470

Answer 1

one about L' Hopital rules?

Answer 2

that is l'hopital yes, but maybe you did not get to that yet. take the derivative of numerator and denominator separately and then try the limit again

Answer 3

Also don't rely on Wolfram Alpha for steps as they skips many steps

Answer 4

if that's the one then 0/0 is an indeterminate form so if you put one function on top and the other on the bottom, in the step it shows the x on the bottom, after taking the derivative, going to one and the 1 in the numerator going to zero so all that is left is the (1+x)^3/2. if you take that derivative you get the answer that they show. make the x go to zero and you get a real number if you solve the equation which will give you the limit of the original question

Answer 5

for steps,suggest any wensite plz,if u know.thanks!

Answer 6

Trying doing L'H yourself

Answer 7

what is the condition to apply the LH rule?

Answer 8

Whenever you have 0/0 or infinity/infinity