Question: SOLUTION Here we divide numerator and denominator by x: lim x 0 x cot ( x ) = lim x 0 x cos ( x

SOLUTION Here we divide numerator and denominator by x:
limx 0x cot(x)=limx 0
x cos(x)
=limx 0
cos(x)
1x
=
limx 0cos(x)limx 0
1x
=
cos(0)
(by the continuity of cosine and this equation)
=
.

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