(3)` lim_(x rarr1)[2x-1]`

3) lim_(x rarr0)[(1)/(x)-cot x]

lim_(x rarr0)(2x^2-3x)/x

The value of : lim_(x rarr0)(cosx-1)/(x) is

lim_(x rarr0)sqrt(x)=

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

lim_(x rarr0)(1+2x)^(5/x)

Evaluate : lim_(x rarr1) (logx /(x - 1))

Let a= lim _(x rarr 1) (x/(lnx)-1/(xln x)), b = lim _(x rarr 0) ((x^(3)-16x)/(4x+x^(2))), c= lim _(x rarr 1) ((ln(1+sinx))/x) & d = lim _(x rarr -1) ((x+1)^(3))/([sin (x+1) - (x+1)]) Then [[a,b],[c,d]] is

If lim_(x rarr 1)((x+x^2+x^3+....+x^n-n)/(x-1))=820 , then find n.

Evaluate the limits, if exist lim_(x rarr 0)(x(e^x-1)/(1-cosx))