Question

Estimate the limit by substituting smaller and smaller values of h. Use radians. Give your answer to one decimal place. lim h>0= cos(h)-1/h

Answer 1

lim(h-->0) (cos(h)-1)/h=
=lim(h-->0) (1-2sin²(h/2)-1)/h=
= - lim(h-->0) sin²(h/2)/(h/2)=
= - lim(h-->0) [sin(h/2)/(h/2)] *lim(h-->0) sin(h/2)=
= - 1 * 0=0

Answer 2

thanx really appreciate it