The value of limx→0∫0xcostdtx is
1
-1
∞
None of these.
Explanation of the correct option.
Compute the required value.
Given : limx→0∫0xcostdtx
Using Leibnitz's rule,
=limx→0sinx-sin0x=limx→0sinxx=00
Since it's 00 form apply L.Hospital rule,
limx→0cosx1=11=1
Therefore, the value of limx→0∫0xcostdtx is 1.
Hence option A is the correct option.