lim θ→0 θ 2 1−2cosθ+cos2θ ÷ θ²
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We know,
1 − cos^2^θ = sin^2^θ.
⇒limθ → 0.
sin^2θ^θ^2
⇒limθ → 0.
(sinθ^θ)2
Use an approximation for, sinθ,
⇒sinθ = θ − θ^3^3!.
⇒limθ → 0.
⎛⎝θ − θ^3^3!θ⎞⎠2
⇒limθ → 0.
(1 − θ^2^3!)^2 = 1.
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