True or False:
`underset(xrarr 0)Lt1/x(sinx)=1`.

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.

Evaluate underset(xrarr0)lim (e^(2x)-1)/(sinx) .

True or False: underset0 overset(pi/2)int x(sinx+cosx)dx=pi/2

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

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

Evaluate underset(xrarr0)lim (e^x-sinx-1)/x

True or False: underset0overset(pi)int xsinxdx ne pi

Evaluate: underset(xrarr0)lim (cos2x-1)/(cosx-1)

True or False: underset0overset(pi/2)int log|sinx|dx ne underset0overset(pi/2)int log(cosx)dx .

Evaluate: underset(xrarr0)lim(cosecx-cotx) .