Method for calculating different type of limits:
If the provided limit is in that form then we shows the provided expression as power of e. For this use the formula . Here two types occurs
Case I: When
Case II: When but f(x) is positive in the neighbourhood of x = a
Case III: If f(x) is not all through positive in the neighbour hood of x = a, then will not exist. Because in that case method may not be defined in the neighbour hood of x = a
Example: Evaluate
Solution: Obviously provided limit is in the form of
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