True or False:
`underset(hrarr0)Lt(sin(3+h)-sin3)/(h) = f'(3)`, where f(x) = sin x.

Compute underset(h rarr0)Lim((sin(x+h) - sinx)/h)

underset(xrarr0)lim (sin4x)/(sin2x) is:

The value of underset(xrarr0)lim (sin2x)/(sin3x) is:

True or False: underset(-pi/2)overset(pi/2)int sin^3xdx=0 .

True or False : If underset(x rarr a)Lt f(x)g(x) exists then both underset(xrarra^+)Lt f(X) and underset(xrarra^-) Lt g(x) exist separately.

Does there exist a point c(in)(0,pi/2) such that f' (c)= 0 where f(x) = sin 2x ?

True or False: underset0overset(pi/2)int (sin^6x)/(sin^6x+cos^6x)dx=pi/4

True or False statements: Maximum value of the function f(x) = 3 sin x + 4 cos x, x in R is 5 .

True or False: If f(2a-x)=-f(x) , then underset0overset(2a)int f(x)dx=0 .

Evaluate the following : lim_(h rarr 0)(sin^2(x+h)-sin^2x)/h .