`lim_(x-gt1)(1/(1-x)-3/(1-x^3))`

lim_(x rarr1)((1)/(1-x)-(3)/(1-x^(3))) is equal to

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

If L=lim_(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| is

lim_(x->1) (1+sin((3pix)/(1+x^2)))/(1+cospix) is (a) 0 (b) 1 (c) 2 (d) 3

lim_(xto1)(x-1)^3/((x-1)^3

Evaluate the following limits : Lim_(x to 1)(1-x^(-1//3))/(1-x^(-2//3))

Which of the following is/are true? (a) lim_(x->oo)((2+x)^(40)(4+x)^5)/((2-x)^(45))=1 (b) lim_(x->0)(1-cos^3x)/(xsinxcosx)=3/2 (c) lim_(x->0)(ln(1+2x)-2"ln"(1+x))/(x^2)=-1 (d) lim_(x->oo)(cot^(-1)(sqrt(x+1)-sqrt(x)))/(sec^1((2x+1)/(x-1)^2)=1

lim_(x-gt0) (e^(3x)-1)/(log(1+5x))

lim_(x rarr1)(1)/(x-1){(1)/(x+3)-(2)/(3x+5)}