Continuity and Differentiability Questions

Let f(a) = g(a) = k and their nth derivatives fn (a), gn (a) exist and are not equal for some n. Further if = 4. then the value of k is...

Let g(x) = ; 0 0, and let p be the left hand derivative of |x - 1| at x = 1. If g(x) = p, then...

If f (x) = is continuous at x = 2, then a is equal to -

Function f(x) = x = 2 is continuous at x = 2, if f(2) equals-

If f(x) = is continuous at x = 0, then

If function f(x) = is continuous at x = 1, then value of f(x) for x < 1 is-

If f(x) = is continuous at x = 0, then the value of a is -

If f(x) = is continuous at x = 2, then a is equal to-

If f(x) = is continuous at x = 0, then k is equal to-

What is the value of (cos x)1/x at x = 0 so that it becomes continuous at x = 0 -

If f(x) = is a continuous function at x = π / 2, then the value of k is-

If function f(x) = , is continuous at x = a, then the value of f(a) is -

If f(x) = is continuous at x = 0, then k is equal to-

Function f(x) = is continuous at x = 0 if f(0) equals-

If f(x) = , (x ≠ π) is continuous at x = π, then f (π) equals-

If f(x) = , then f(x) is -

If f(x) = is continuous at x = 0, then f(0) equals-

If f(x) = , (x ≠ 0) is continuous at x = 0, then the value of f(0) is-

If f(x) = is continuous at x = 1, then the most suitable values of a,b are-

If f(x) = then f is -