lim_(x rarr0)(axe^(x)-b ln(1+x)+cxe^(-x))/(x^(2)sin x)=2

Find the constant a b and c such that lim_(x rarr0)(axe^(x)-b log(1+x)+cxe^(-x))/(x^(2)sin x)=2

If lim_(x rarr0)(ax^(2)e^(x)-b log_(e)(1+x)+cxe^(-x))/(x^(2)sin x)=1 ,then 16(a^(2)+b^(2)+c^(2)) is equal to:

lim_(x rarr0)(e^(x)+log(1+x)-(1-x)^(-2))/(x^(2))

lim_(x rarr0)(a^(x)-b^(x))/(sin x)

lim_(x rarr0)(x)/(sin2x)

lim_(x rarr0)(x)/(sin2x)

lim_(x rarr0)(sin(x^(2)-x))/(x)

lim_(x rarr 0) (1+ax)^(b/x)=

lim_(x rarr0)(a^(sin x)-1)/(sin x)