`lim_(xrarr0)(x^2+5x)/(e^x-1)=?`

lim_(xrarr0) (a^x-b^x)/(e^x-1) is equal to

lim_(xrarr0) (x^(2)-x)/(sinx)

lim_(xrarr0)(4^x-1)/(3^x-1) equals

lim_(xrarr0) (2x)/(sqrt(1+x)-1)

lim_(xrarr0) ((x+1)^(5)-1)/(x)

lim_(xrarr0) (1+x+x^2-e^x)/(x^2) is equal to

If 3x+2y=1 is a tangent to y=f(x) at x=1//2 , then lim_(xrarr0) (x(x-1))/(f((e^(2x))/(2))-f((e^(-2x))/(2)))

Let lim_(xrarr0)(sin2x)/(tan((x)/(k)))=L_(1) and lim_(xrarr0)(e^(2x)-1)/(x)=L_(2), and the value of L_(1) L_(2) is 8, then k is

Evaluate the following limits: lim_(xrarr0)((2^(x)-1)/(x))