Home
Class 12
MATHS
Prove that every rational function is co...

Prove that every rational function is continuous.

Text Solution

Verified by Experts

The correct Answer is:
f is continuous by (4) of Theorem 1.
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Every continuous function is :

Check the points where the constant function f(x)= k is continuous.

Prove that the function f(x) = 5x - 3 is continuous at x = 0, at x = -3 and at x = 5.

Show that a function p is a polynomial function is continuous.

For what value of k is the function defined by f(x)={{:(k(x^(2)+2)," if " x le0),(3x+1," if "x gt 0):} continuous at x= 0? Also write whether the function is continuous at x=1.

The function f(x)= [x] , where [x] denotes greatest integer function is continuous at __________

Prove that the logarithmic function is strictly increasing on (0, oo) .

If f(x) = x . (sin)1/x, x ne 0 , then the value of the function at x = 0, so that the function is continuous at x = 0 is