lim_(x rarr2^(+))(|x-2|)/(x-2)

Find lim_(x rarr2^(+))(x-2)^((x-2))

lim_(x rarr2)(f(x)-f(2))/(x-2)=

Evaluate the following limit : lim_(x rarr 2) (e^x-e^2)/(x-2) .

If lim_(x rarr 2) (x^n-2^n)/(x-2)=80 and if n is a positive integer, find n.

Which of the following true ({.} denotes the fractional part of the function)? lim_(x rarr oo)(log_(e)x)/({x})=oo( b) lim_(x rarr2^(+))(x)/(x^(2)-x-2)=oolim_(x rarr1^(-))(x)/(x^(2)-x-2)=-oo( d) lim_(x rarr oo)(log_(0)5x)/({x})=oo

Evaluate: lim_(x rarr2)(x^(2)-x-2)/(x^(2)-2x-sin(x-2))

lim_(x rarr2)[(x-2)/(x^(2)-4)-(1)/(x^(3)-3x^(2)+x)]=(1)/(m) where l and m are mutually prime then the value of (l+m)

lim_(x rarr2)(x-2)/(sqrt(x^(2)-4)+sqrt(x-2))