`lim_(x->0) (x^3-3x+1)/(x-1)`

lim_(x->0)(e^(5x) - 1)/(3x)

Compute (lim)_(x->0)(e^(3x)-1)/x

lim_(x->0)(2 7^x-9^x-3^x+1)/(sqrt(2)-sqrt(1+cosx))

lim_(x->1)(x^4-3x^2+2)/(x^3-5x^2+3x+1)

find lim_(x->1) ((x^4-3x^2+2)/(x^3-5x^2+3x+1))

Which of the following is and determinate form (lim)_(xvec1)(x^3-1)/(x-1) b. (lim)_(xvec0)(1+x)^(1//x) c. (lim)_(xvec1)(1/(x^2-1)-1/(x-1)) d. (lim)_(xvec0)(|x|)^(s in R)

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

Evaluate lim_(x to 1) (x^(3) - 1)/(x - 1)

STATEMENT-1 : lim_(x->oo)(log[x])/([x])=0 . STATEMENT-2 : lim_(x->0)(sqrt(sec^2-1))/x does not exist. STATEMENT-3: lim_(x->2)(x-1)^(1/(x-2)) = 1

If lim_(x to 1) (x^(3) - 1)/(x - 1) = lim_(x to k) (x^(4) - k^(4))/(x^(3) - k^(3)) , find the value of k.