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 continuity of f(x)={1/(e^(x-1)),x!=1 0,x=1

Discuss the continuity of f(x)=(lim)_(nvecoo)(x^(2n)-1)/(x^(2n)+1)

Let f(x)={(1+3x)^(1/x), x != 0e^3,x=0 Discuss the continuity of f(x) at (a) x=0, (b) x=1

f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+1;xlt=1-|x-2|;x >1 Draw its graph and discuss the continuity of f(x)+g(x)dot

If f(x)=3x-2a n d(gof)^(-1)(x)=x-2, then find the function g(x)dot

If f(x)=x/(sinx)a n dg(x)=x/(tanx),w h e r e0ltxlt=1, then in this interval

Iff(x)=e^(g(x))a n dg(x)=int_2^x(tdt)/(1+t^4), then find the value of f^(prime)(2)

Let f(x) be a function defined as f(x)={(x^2-1)/(x^2-2|x-1|-1),x!=1 1/2,x=1 Discuss the continuity of the function at x=1.

If f(x)=|x-2|a n dg(x)=f[f(x)],t h e ng^(prime)(x)= ______ for x>2

If f(x)={1-|x|,|x|lt=1 0,|x|>1'a n dg(x)=f(x-1)+f(x+1), find the value of int_(-3)^3g(x)dxdot