GATE CE 2016 Set 2 — Question 15
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Engineering Mathematics → Calculus → Limits & Continuity
Last updated
Question
What is the value of ?
Correct answer
(D) Limit does not exist
Solution
To check the existence of the limit, we evaluate it along different paths approaching .
Let's take the path :
The value of the limit depends on the slope of the path. Since the limit is not unique, it does not exist.
Let's take the path :
The value of the limit depends on the slope of the path. Since the limit is not unique, it does not exist.
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