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Evaluate: lim_{x → 0} (^sin 4x/_sin 2x)

= lim_{x → 0} [(^sin 4x/_4x) × (^2x/_sin 2x) × 2]

= 2 × lim_{x → 0} (^sin 4x/_4x) × lim_{x → 0} (^sin 2x/_2x)

= 2 × lim_{4x → 0} (^sin 4x/_4x) × lim_{2x → 0} (^sin 2x/_2x)

= 2 × 1 × 1 = 2 (as x → 0, 4x → 0 and 2x → 0)

"}}]}]]}]

Evaluate: limx → 0 (sin 4x/sin 2x)

Verified Answer

Evaluate: lim_{x → 0} (^sin 4x/_sin 2x)