For Daily Free Study Material Join wiredfaculty

Home > NCERT Solutions > Uttarakhand Board > Class 12 > Mathematics > Mathematics Part I > Chapter 5 Continuity And Differentiability

WhatsApp Group

Download Android App

Ncert Book Download

Sponsor Area

TextBook Solutions for Uttarakhand Board Class 12 Mathematics Mathematics Part I Chapter 5 Continuity And Differentiability

Question 1

Wired Faculty App

Check the continuity of the function f given by f(x) = 2 x + 3 at x = 1.

Solution

WiredFaculty

Question 2

Wired Faculty App

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

Easy

View solution

Question 3

Wired Faculty App

Examine the continuity of the function f(x) = 2x² –1 at.x = 3

Easy

View solution

Question 4

Wired Faculty App

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

Easy

View solution

Question 5

Wired Faculty App

Examine whether the function f given by f(x) = x² is continuous at x = 0.

Easy

View solution

Question 6

Wired Faculty App

Is the function defined by f(x) = x² –sin x + 5 continuous at x = $WiredFaculty$ ?

Easy

View solution

Question 7

Wired Faculty App

Discuss the continuity of the function f given by f(x) = | x | at x = 0.

Average

View solution

Question 8

Wired Faculty App

Prove that the identity function on real numbers given by f(x) = x is continuous at every real number.

Easy

View solution

Question 9

Wired Faculty App

Show that the function defined by g(x) = x – [x] is discontinuous at all integral points. Here [x] denotes the greatest integer less than or equal to x

Easy

View solution

Question 10

Wired Faculty App

Find all the points of discontinuity of the greatest integer function defined by f(x) = [x], where [x] denotes the greatest integer less than or equal to x.

Easy

View solution

Sponsor Area

For Daily Free Study Material Join wiredfaculty

WhatsApp Group

Download Android App

Ncert Book Download

TextBook Solutions for Uttarakhand Board Class 12 Mathematics Mathematics Part I Chapter 5 Continuity And Differentiability

Check the continuity of the function f given by f(x) = 2 x + 3 at x = 1.

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

Examine the continuity of the function f(x) = 2x² –1 at.x = 3

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

Examine whether the function f given by f(x) = x² is continuous at x = 0.

Is the function defined by f(x) = x² –sin x + 5 continuous at x = $WiredFaculty$ ?

Discuss the continuity of the function f given by f(x) = | x | at x = 0.

Prove that the identity function on real numbers given by f(x) = x is continuous at every real number.

Show that the function defined by g(x) = x – [x] is discontinuous at all integral points. Here [x] denotes the greatest integer less than or equal to x

Find all the points of discontinuity of the greatest integer function defined by f(x) = [x], where [x] denotes the greatest integer less than or equal to x.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

For Daily Free Study Material Join wiredfaculty

WhatsApp Group

Download Android App

Ncert Book Download

TextBook Solutions for Uttarakhand Board Class 12 Mathematics Mathematics Part I Chapter 5 Continuity And Differentiability

Check the continuity of the function f given by f(x) = 2 x + 3 at x = 1.

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

Examine the continuity of the function f(x) = 2x2 –1 at.x = 3

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

Examine whether the function f given by f(x) = x2 is continuous at x = 0.

Is the function defined by f(x) = x2 –sin x + 5 continuous at x =?

Discuss the continuity of the function f given by f(x) = | x | at x = 0.

Prove that the identity function on real numbers given by f(x) = x is continuous at every real number.

Show that the function defined by g(x) = x – [x] is discontinuous at all integral points. Here [x] denotes the greatest integer less than or equal to x

Find all the points of discontinuity of the greatest integer function defined by f(x) = [x], where [x] denotes the greatest integer less than or equal to x.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Examine the continuity of the function f(x) = 2x² –1 at.x = 3

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

Examine whether the function f given by f(x) = x² is continuous at x = 0.

Is the function defined by f(x) = x² –sin x + 5 continuous at x = $WiredFaculty$ ?