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Ask a few math questions for the postgraduate entrance examination (in Chen Wendeng's review guide)
The first question uses the definition of definite integral. Find the definition of definite integral and you will understand.

The second question, first use X to approximate positive infinity instead of N to approximate infinity, and then use X instead of N in the formula to become the limit of the function; Then we can take the natural logarithm Ln first, and then use Robida's law to find the limit, and it will be easy in the future; Finally, after finding the limit, take the exponent of e (the inverse operation of natural logarithm Ln) to get the result of the original formula.