Prove that the function `f(x)=x^n`is continuous at `x = n`, where n is a positive integer.

Prove that the function f(x) = x^(2n) + 1 is continuous at x = n , n > 0

Solve (x - 1)^n =x^n , where n is a positive integer.

Prove that f(x)=x^(n), is continuous at x=0

Solve (x-1)^(n)=x^(n), where n is a positive integer.

The constant c of Rolle's theorem for the function f(x)=(x-a)^m(x-b)^n in [a,b] where m,n are positive integers, is

Verify Rolles theorem for the function f(x)=(x-a)^m(x-b)^n on the interval [a , b], where m , n are positive integers.

Verify Rolle’s theorem for the function f(x) = (x - a)m (x - b)^(n) on [a, b] where m and n are positive integers.

Verify Rolles theorem for the function f(x)=(x-a)^(m)(x-b)^(n) on the interval [a,b], where m,n are positive integers.

Verify Rolles theorem for the function f(x)=(x-a)^(m)(x-b)^(n) on the interval [a,b], where m,n are positive integers.

Prove that the function defined by f(x) = t a n x is a continuous function.