GATE ME 2014 Set 3 — Question 12
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Engineering Mathematics → Single Variable Calculus → Limits, Continuity & Differentiability
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Question
If a function is continuous at a point,
Correct answer
(D) the limit must exist at the point and the value of limit should be same as the value of the function at that point
Solution
By the mathematical definition of continuity, a function is continuous at a point if and only if . This condition implies that the limit exists at that point and is equal to the function's value at that point.
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