The value of lim x → π tan ⁡ ( π cos 2 ⁡ x ) sin 2 ⁡ x is equal to

Question

The value of lim x → π tan ⁡ ( π cos 2 ⁡ x ) sin 2 ⁡ x is equal to, 1, π, - π, π 2

MARKS App · Accepted Answer

Let, x = π + t lim t → 0 tan π cos 2 ( π + t ) sin 2 ( π + t ) ⇒ lim t → 0 tan ( π cos 2 t ) sin 2 t lim t → 0 tan π − π sin 2 t sin 2 t ⇒ lim t → 0 − tan ( π sin 2 t ) π sin 2 t · π = − π

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