(e^(ax)-e^(-ax))/(e^(ax)+e^(-ax))

Applying the L.Hospital rule , find the limits of the following functions : lim_(xto0) (e^(ax)-e^(-2ax))/(ln(1+x))

int x^(3)e^(ax)dx=(e^(ax))/(a){x^(3)-(3)/(a)x^(2)+(6)/(a^(2))x-(6)/(a^(3))}

lim_(xto0)(e^(ax)-e^(bx))/x

lim_(xrarr0) (ax-(e^(4x)-1))/(ax(e^(4x)-1)) = b .Find a-2b

e^(ax).sin^-1bx

e^(ax).sin^-1bx

Verify that the function y=c_(1)e^(ax)cos(bx)+c_(2)e^(ax)sin(bx)

If a le 0 f(x) =e^(ax)+e^(-ax) and S={x:f(x) is monotonically increasing then S equals