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Provide an Appropriate Response pp For Which 011xpdx\int _ { 0 } ^ { 1 } \frac { 1 } { x p } d x

Question 403

Essay

Provide an appropriate response.
-(a) Find the values of pp for which 011xpdx\int _ { 0 } ^ { 1 } \frac { 1 } { x p } d x converges.
(b) Find the values of pp for which 011xpdx\int _ { 0 } ^ { 1 } \frac { 1 } { x _ { p } } d x diverges.

Correct Answer:

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(a) The integral con...

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