यदि `f(x)=(sinx^(2))/(x), x gt 0`
`=(tanx)/(x), xlt 0`
तो `lim_(x to 0)f(x)=`

Let f(x)=(sqrt(1+sinx)-sqrt(1-sinx))/(tanx) , x ne 0 Then lim_(x to 0) f(x) is equal to

Let f be a differentiable function satisfying f(xy)=f(x).f(y).AA x gt 0, y gt 0 and f(1+x)=1+x{1+g(x)} , where lim_(x to 0)g(x)=0 then int (f(x))/(f'(x))dx is equal to

Let f be a differentiable function satisfying f(xy)=f(x).f(y).AA x gt 0, y gt 0 and f(1+x)=1+x{1+g(x)} , where lim_(x to 0)g(x)=0 then int (f(x))/(f'(x))dx is equal to

If F (x) = {{:(-x^(2) + 1, x lt 0),(0,x = 0),(x^(2) + 1,x gt = 0):} , .then lim_(x to 0) f(x) is

If F (x) = {{:(-x^(2) + 1, x lt 0),(0,x = 0),(x^(2) + 1,x gt = 0):} , .then lim_(x to 0) f(x) is

Find the value of a for which the function f defined by f(x)={asin(pi/2)(x+1),xlt=0(tanx-sinx)/(x^3),x >0" is continuous", at x=0

lim_(x to 0) (sinx-tanx)/(x) equal to?

If the function f (x) = {{:(3,x lt 0),(12, x gt 0):} then lim_(x to 0) f (x) =