Discuss monotonocity of `f(x)=x/(sinx)a n d` `g(x)=x/(tanx),w h e r e

If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in this interval

If f(x)=sinx+e^x , then f''(x)

Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e[dot] represents greatest integer function.

Statement 1: f(x)=cos x is continous at x=0a n dg(x)=[tanx],"w h e r e"[dot] represents greatest integer function, is discontinuous at x=0,t h e nh(x)=f(x)dotg(x) is discontinuous at x=0. Statement 2: If f(x) is continous and g(x) is discontinuous at x=a ,t h e nh(x)=f(x)g(x) is discontinuous at x=a

Discuss the differentiability of f(x)= [x] +|1-x| , x in (-1,3),w h e r e[dot] represents greatest integer function.

Discuss the continuity of f(x)in[0,2],w h e r ef(x)=(lim)_(n->oo)(sin (pix/2))^(2n)

If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity of f(x),g(x),a n dfog(x)dot

Discuss the differentiability of f(x)=[x]+setminus1-x|dotx in (-1,3),w h e r e[dot] represents greatest integer function.

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h e r e[dot] represents the greatest integer function

Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)