[" If "f(x)=x(sqrt(x)+sqrt((x+1))" ,then "],[[" (a) "f(x)" is continuous but not differentiable at "x=0],[" (b) "f(x)" is differentiable at "x=0],[" (c) "f(x)" is not differentiable at "x=0],[" (d) "N" one of the above "]]

[" Let "f(x)=(x+|x|)" .Then for all "x],[" O "f" is continuous but not differentiable at "x=0],[" 0"f'" is differentiable for all "x" ."],[" 0"f'" is continuous but not differentiable at "x=0],[" O "f'" is continuous for all "x]

Let f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):} then f(x) is continuous but not differentiable at x=0 if

[" If "f(x)=(x)/(sqrt(x+1)-sqrt(x))" be a real valued function "],[" then: "],[0" f(x) is continuous,but "f'(0)" does not "],[" exist "],[" O "f(x)" is differentiable at "x=0],[" O "f(x)" is not continuous at "x=0],[" (x) is not differentiable at "x=0]

If f(x) = 3(2x + 3)^(2//3) + 2x + 3 , then: (a) f(x) is continuous but not differentiable at x = - (3)/(2) (b) f(x) is differentiable at x = 0 (c) f(x) is continuous at x = 0 (d) f(x) is differentiable but not continuous at x = - (3)/(2)

Let f(x)=(lim)_(n 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.