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

lim_(x rarr0)sqrt(x)=

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

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

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

Lim_(x rarr-1)(x+1)/(sqrt(x^(2)+3-2))= 1) -2 2) 1/2 3) 2 4) 0

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

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

lim_(x rarr0)x(cosec x)

lim_(x rarr0)(sin^2x)/(1-cosx)

If f(x) be a twice differentiable function from RR rarr RR such that t^(2)f(x)-2tf'(x)+f''(x)=0 has two equal values of t for all x and f(0)=1,f'(0)=2, then lim_(x rarr 0)((f(x)-1)/(x)-(t)/(2)) is