Given `lim_(x rarr 0) f(x)/x^2=2` then `lim_(x rarr 0) [f(x)]=`

lim_(x rarr0)(|x|)/(x)

lim_(x rarr 0) (|x|)/x is :

If f(x) is an odd function and lim_(x rarr 0) f(x) exists, then lim_(x rarr 0) f(x) is

lim_(x rarr0)[(x)/([x])]=

lim_(x rarr0)(x)/(sin2x)

lim_(x rarr0)(x)/(sin2x)

If ‘f' is an even function, prove that lim_(x rarr 0^-) f(x)= lim_(x rarr 0^+) f(x) .

lim_(x rarr0)x^(2)+3x+3

Let f(x) is a function continuous for all x in R except at x = 0 such that f'(x) lt 0, AA x in (-oo, 0) and f'(x) gt 0, AA x in (0, oo) . If lim_(x rarr 0^(+)) f(x) = 3, lim_(x rarr 0^(-)) f(x) = 4 and f(0) = 5 , then the image of the point (0, 1) about the line, y.lim_(x rarr 0) f(cos^(3) x - cos^(2) x) = x. lim_(x rarr 0) f(sin^(2) x - sin^(3) x) , is

Let f(x) is a function continuous for all x in R except at x = 0 such that f'(x) lt 0, AA x in (-oo, 0) and f'(x) gt 0, AA x in (0, oo) . If lim_(x rarr 0^(+)) f(x) = 3, lim_(x rarr 0^(-)) f(x) = 4 and f(0) = 5 , then the image of the point (0, 1) about the line, y.lim_(x rarr 0) f(cos^(3) x - cos^(2) x) = x. lim_(x rarr 0) f(sin^(2) x - sin^(3) x) , is