`lim_(x-gt0)(x^2+2cosx-2)/(xsin^3x)`

solve lim_(x->0) (x^2+1-cosx)/(xsinx)

Evaluate: lim_(x->0)(e^(x^2)-cosx)/(x^2)

lim_(xto0)(1-cos^(2)x)/(xsin2x)

lim_(x-gt0)(cos2x-cos3x)/(cos4x-1)

If L=lim_(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L) is

If L=lim_(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L) is

lim_(xto0)(1-cosx)/x^(2)

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_(xto0)(e^(x^(2))-cosx)/(x^(2))=

Find lim_(x->0)(5x+2cosx)/(3x+14) using sandwitch theorem