Question

Another easy one


`\lim_(h \to 0) (cos( (\pi)/(2)+h ))/(h)` is equal to....
find the limit

show all work

Answer 1

The limit is equivalent to the value of the derivative of
`\cos x` at
`x=\frac\pi2`. (See definition of derivative)


`(\cos x)'=-\sin x\implies (\cos x)'\bigg|_(x=\pi/2)=-\sin\frac\pi2=-1`