Method for calculating different type of limits Assignment Help

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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 1916_Method for calculating different type of limits.png. Here two types occurs1475_Method for calculating different type of limits1.png

 

Case I:     When 1391_Method for calculating different type of limits2.png

795_Method for calculating different type of limits3.png

Case II:    When 1662_Method for calculating different type of limits4.png but f(x) is positive in the neighbourhood of x = a

                      821_Method for calculating different type of limits5.png

Case III:   If f(x) is not all through positive in the neighbour hood of x = a, then 1371_Method for calculating different type of limits6.png will not exist. Because in that case method may not be defined in the neighbour hood of x = a

Example: Evaluate 1643_Method for calculating different type of limits7.png

Solution:  Obviously provided limit is in the form of 212_Method for calculating different type of limits8.png

              2362_Method for calculating different type of limits9.png

 

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