Test the continuity of the following function at the origin :

A function f(x) is defined as Show that f(x) is continuous at x = 3.

A function f(x) is defined as

Show that f(x) is continuous at x = 3.

If Find whether f(x) is continuous at x = 1.

If Find whether f(x) is continuous at x = 0.

If Find whether f is continuous at x = 0.

Let Show that f(x) is discontinuous at x = 0.

Show that is discontinuous at x = 0.

Show that is discontinuous at x = a.

Discuss the continuity of the following functions at the indicated point(s).

at x = 0

Discuss the continuity of the following functions at the indicated point(s).

at x = 0

Discuss the continuity of the following functions at the indicated point(s).

at
x = a

Discuss the continuity of the following functions at the indicated point(s).

at x = 0

Discuss the continuity of the following functions at the indicated point(s).

at x = 1

Discuss the continuity of the following functions at the indicated point(s).

at x = 1

Discuss the continuity of the following functions at the indicated point(s).

at x = 0

Discuss the continuity of the following functions at the indicated point(s).

at x = a

Show that is discontinuous at x = 1.

Show that is continuous at x = 0

Find the value of ‘a’ for which the function f defined by is continuous at x = 0.

Examine the continuity of the function at x = 0. Also sketch the graph of this function.

Discuss the continuity of the function at the point x = 0.

Discuss the continuity of the function at the point x = 1/2.

Discuss the continuity of at x = 0.

For what value of k is the function continuous at
x = 1?

Determine the value of the constant k so that the function is continuous at x = 1.

For what value of k is the function continuous at
x = 0?

Determine the value of the constant k so that the function is continuous at x = 2.

Determine the value of the constant k so that the function is continuous at x = 0.

Find the values of a so that the function is continuous at x = 2.

Prove that the function remains discontinuous at x = 0, regardless of the choice of k.

Find the value of k if f(x) is continuous at x = π/2, where

Determine the values of a, b, c for which the function is continuous at x = 0.

If is continuous at x = 0, find k.

If is continuous at x = 4, find a, b.

For what value of k is the function continuous at x = 0?

Let x ≠ 0. Find the value of f at x = 0 so that f becomes continuous at x = 0.

If is continuous at x = 2, find k.

If is continuous at x = 0, find k.

Extend the definition of the following by continuity at the point x = π.

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

Find the value of k for which is continuous at x = 0.

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 1

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 5

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 5

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 1

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 2.

Find the values of a and b so that the function f given by is continuous at x = 3 and x = 5

If Show that f is continuous at x = 1.

Discuss the continuity of the f(x) at the indicated points :

f(x) = |x| + |x – 1| at x = 0, 1.

Discuss the continuity of the f(x) at the indicated points :

f(x) = |x – 1| + |x + 1| at x = – 1, 1.

Prove that is discontinuous at

x = 0.

If then what should be the value of k so that f(x) is continuous at x = 0.

For what value of is the function continuous at x = 0? What about continuity at x = ± 1?

For what value of k is the following function continuous at x = 2?

Let . If f(x) is continuous at
find a and b.

If the function f(x), defined below is continuous at x = 0, find the value of k:

Find the relationship between ‘a’ and ‘b’ so that the function ‘f’ defined by is continuous at x = 3.