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Q. 41

Question

Calculate each of the limits in Exercises 15–20 (a) using

L’Hopital’s rule and (b) without using L’H ˆ opital’s rule.

limx→0cosx-1sinx

Step-by-Step Solution

Verified
Answer

a

1Part (a) Step 1. Given information.


we have been given,





2Step 2. finding value of x

desc


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Q. 39
Calculate each of the limits in Exercises 21-48. Some of these limits are made easier by L’Hopital’s rule, and some are not.limx→2+ln(x-2)lnx2
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Q. 40
Calculate each of the limits in Exercises 21-48. Some of these limits are made easier by L’Hopital’s rule, and some are not.limx→0+lnxlnx-x+1.
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Q. 41
Calculate each of the limits in Exercises 21-48. Some of these limits are made easier by L’Hopital’s rule, and some are not.limx→0cosx-1sinx.
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Q. 42
Calculate each of the limits in Exercises 21-48. Some of these limits are made easier by L’Hopital’s rule, and some are not.limx→0sinxx+sinx.
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