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

Question 7

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

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TextBook Solutions for Assam 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.

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For Daily Free Study Material Join wiredfaculty

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Download Android App

Ncert Book Download

TextBook Solutions for Assam 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 = $WiredFaculty$ ?