evaluate limit x tends to zero x (e^x-1)/1-cos 2x

    limx0 x ex-11 - cos 2x=limx0xex-12 sin2x=12limx0 ex-1x2x. sin2x=12limx0ex-1xsin2xx2=12×limx0 ex-1x ÷ limx0sin xx2=121 ÷ 12   as, limθ0eθ-1θ = 1; limθ0 sin θθ = 1=12

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