Question

Find lim (sin(root of (x+h))-sin(root of (x)) / h as h goes to 0

please I need help to solve this problem

Answer 1

and you can't use L'Hopital's rule?

Answer 2

If not, then using the
sin A - sin B
formula could be a good start,
try it :)

Answer 3

yes, i agree

Answer 4

http://www.purplemath.com/modules/idents.htm

sum identities

Answer 5

I think x is a constant here so you can use L'hopital rule
So diff. of sin√(x+h)=cos√(x+h)/2√(x+h)
And diff. Of Sin√x =0 as x an constant
So you get 1 in denominator also
Then answers will be
Cos√(x+h)/2√(x+h)
You have now just to put h=0
Then what Will you get ??

Answer 6

Thank youuuuuuu so much

Answer 7

You are welcome