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9. Continuity
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Q41 of 155 Page 9

Mark the correct alternative in the following:

The value of a for which the function is continuous at every point of its domain, is


Formula:-


(i) A function f(x) is said to be continuous at a point x=a of its domain, iff



Given:-



Now at x=1





Function f(x) continuous at x=1





Now at x=3




Using left hand limit





Therefore discontinuous at x=3

More from this chapter

All 155 →
39

Mark the correct alternative in the following:

If ..Then, f(x) is continuous at if


40

Mark the correct alternative in the following:

The points of discontinuity of the


function is (are)


42

Mark the correct alternative in the following:

If is


Continuous at then k is equal to


1

Define continuity of a function at a point.

Questions · 155
9. Continuity
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