1.

lim_(trarr0) int_(0)^(2pi)(|sin(x+t)-sinx|)/(|t|)dx equals

Answer»

2
4
43469
1

Solution :`underset(trarr0)(LIM)int_(0)^(2pi)|(sin(x+t)-SINX)/(t)|dx`
`=int_(0)^(2pi)(underset(trarr0)(lim)|(2COS(x+(t)/(2))sin(t)/(2))/(t)|)dt`
`=int_(0)^(2pi)|cosx|dx=4`


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