`lim_(x rarr0)sqrt(x)=`

lim_(x rarr 0)(sqrt(1-x)-1)/(x)=-(1)/(2)

lim_(x rarr0)(x)/(sqrt(6-x)-4)

Lt_(x rarr0)(sqrt(2+x)-sqrt(2))/(x)

Let f be a function such that f(xy) = f(x).f(y), AA y in R and R(1 + x) = 1 + x(1 + g(x)) . where lim_(x rarr 0) g(x) = 0 . Find the value of int_(1)^(2) (f(x))/(f'(x)).(1)/(1+x^(2))dx

1) Evaluate lim_(x rarr0)(|x|)/(x)

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

lim_(x rarr0)x(cosec x)

lim_(x rarr0)((a^(x)-1)/(x))=log_(e)a

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

lim_(x rarr0)(1/x)^(1-cos x)