# Improper Integral

How the following limit can be zero, since after applying L'Hospital rule the root x will be in the numerator, which together with sinx will constitute infinity.

#### Attachments

• limit.doc
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## Answers and Replies

Dick
Homework Helper
I'm not sure you are actually using the product rule correctly. Hard to tell since you don't show what you actually did. But you have an x in the denominator. It's still infinity/infinity.

The proceedure is following, In my book they have equate it to zero.

#### Attachments

• limx.doc
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Dick