Thread: Limits using trig functions

I got stuck on this one, once i saw the sin, i just didn't know what to do. All this is one problem. The Answer according to the book is Cos(x)

f(x) = sin(x)

f(x) = lim sin(x+h) - sin (x) over h
........h->0

Originally Posted by Cyberman86

I got stuck on this one, once i saw the sin, i just didn't know what to do. All this is one problem. The Answer according to the book is Cos(x)

f(x) = sin(x)

f(x) = lim sin(x+h) - sin (x) over h
........h->0

You're expected to recognise the limit as the derivative of sin x (calculated from first principles).

Interesting, let me give this a bash:





as h---->0: