`lim_(h rarr1)(h-1)/(sqrt(h)-1)`

lim_(x rarr 0)((3^(x)-1)/(sqrt(1+x)-1))

lim_(h rarr oo)log(sqrt(h-1)+sqrt(h))

7. lim_(h rarr0)((a+h)^(2)sin(a+h)-a^(2)sin a)/(h)

lim_(x rarr1)(sqrt(1+x)+sqrt(1-x))/(1+x)

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

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

If is an even function such that lim_(h rarr 0) (f(h)-f(0))/(h) has some fininte non-zero value, then

If f(x) is derivable at x=2 such that f(2)=2 and f'(2)=4 , then the value of lim_(h rarr0)(1)/(h^(2))(ln f(2+h^(2))-ln f(2-h^(2))) is equal to

lim_(hrarr0) ((e+h)^(In(e+h))-e)/(h) is-

lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)+1))