If `f(x)={x ,xlt=1,x^2+b x+c ,x >1'` find b and c if function is continuous and differentiable at `x=1`

If the function f(x)={A x-B ,xlt=1 3x ,1

If the function f(x)={A x-B ,xlt=1 3x ,1

Let f(x)=(lim)_(x rarr oo)sum_(r=0)^(n-1)x/((r x+1){(r+1)x+1}) . Then (A) f(x) is continuous but not differentiable at x=0 (B) f(x) is both continuous but not differentiable at x=0 (C) f(x) is neither continuous not differentiable at x=0 (D) f(x) is a periodic function.

The function f(x)=sin^(-1)(cosx) is (a) discontinuous at x=0 (b) continuous at x=0 (c) differentiable at x=0 (d) none of these

The function f(x)={(2,xle1),(x,xgt1):} is not differentiable at

Consider the function f(x)=|x-2|+|x-5|,c inR. Statement 1: f'(4)=0 Statement 2: f is continuous in [2,5], differentiable in

The function f(x)={(2, xle1),(x, xgt1):} is not differentiable at……