lim x~0 cot2x-cosec2x/x

Dear Student,


limx0 cot2x - cosec2xx= limx0 cos2xsin2x - 1sin2xx= limx0 cos2x - 1xsin2x= limx0 -2sin2x2xsinxcosx                        cos2x = 1 - 2sin2x; sin2x = 2sinxcosx= limx0 -sinxxcosx= -1 × limx0 tanxx= -1 × 1                                        limx0 tanxx = 1= -1

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