1.Check the continuity of the function f given by f(x) = 2 x + 3 at x = 1.
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Long Answer Type
2.Prove that the function f(x) = 5 x – 3 is continuous at x = 0, at x = – 3 and at x = 5.
424 Views
Short Answer Type
3.Examine the continuity of the function f(x) = 2x2 –1 at.x = 3
137 Views
4.Prove that the function f(x) = xn is continuous at x = n, where n is a positive integer.
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5.Examine whether the function f given by f(x) = x2 is continuous at x = 0.
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6.Is the function defined by f(x) = x2 –sin x + 5 continuous at x =?
98 Views
7.
Discuss the continuity of the function f given by f(x) = | x | at x = 0.
124 Views
8.Prove that the identity function on real numbers given by f(x) = x is continuous at every real number.
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9.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
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10.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.
Short Answer Type
Long Answer Type
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