Find `lim_(x rarr a)(x^(4)-a^(4))/(x-a)`

Evaluate: lim_(x rarr a) (x^(1//4)-a^(1//4))/(x^(4)-a^(4)) .

lim_(x rarr0)((1+x)^(4)-1)/(x)

lim_(x rarr0)((1+x)^(4)-1)/(x)

Find value of a if lim_(x rarr1)(x^(4)-1)/(x-1)=lim_(x rarr a)(x^(3)-a^(3))/(x^(2)-a^(2))

Consider the function f(x) = (x^2 - 4)/(x - 2) If lim_(x rarr a) (x^4 - a^4)/(x -a) = lim_(x rarr 0) (e^(4x) -1)/x , find all possible values of a.

lim_(x rarr0)((4+x)^(3)-64)/(x)

lim_(x rarr 4) (x^(3/2)-8)/(x-4) =

lim_(x rarr0)x^(4)cos(2/x)

Evaluate : lim_(x rarr1)((x+1)^(4)-2^(4))/((2x+1)^(5)-3^(5))

Find all possible values of a, if : lim_(x rarr a) (x^3-a^3)/(x-a)= lim_(x rarr 1) (x^4-1)/(x-1) .