Find `underset(x rarr 0)lim (1-cos x)/x`.

Evaluate the following limits. underset (x rarr 0)Lt (1-cos x)/(2x^2)

Evaluate underset (x rarr 0)Lt [(1-cos 4x)/(x^2)] .

(ii)Find underset(x rarr 0)lim f(x) if its exists where f(x)={(|x|/x,x ne 0),(0, if x=0))

Evaulate underset (x rarr 0)Lim (cos 2x-1)/(cos x-1) .

If x is in radian underset (x rarr 0)Lt (sin x)/x=………….

Choose the most appropriate answer from those given in the bracket. underset(x rarr 0)lim (sin ax)/(xcosbx) =……….. [0, a, b, not defined].

The value of underset(x rarr 0)lim ""(cot 4x)/("cosec 3x") is equal to a) (4)/(3) b) (3)/(4) c) (2)/(3) d) (3)/(2)

The figure shows the graph of the function f(x)(c)Check the existance of underset(x rarr 0)lim f(x)

Evaluate underset (x rarr 0)lim(cosec x-cot x)