1f:["$","svg",null,{"className":"w-6 h-6","fill":"none","stroke":"currentColor","viewBox":"0 0 24 24","children":["$","path",null,{"strokeLinecap":"round","strokeLinejoin":"round","strokeWidth":2,"d":"M8.228 9c.549-1.165 2.03-2 3.772-2 2.21 0 4 1.343 4 3 0 1.4-1.278 2.575-3.006 2.907-.542.104-.994.54-.994 1.093m0 3h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"}]}] 20:["$","div",null,{"className":"flex-1","children":[["$","h1",null,{"className":"text-2xl font-bold text-gray-900 mb-4","children":["$","div",null,{"dangerouslySetInnerHTML":{"__html":"

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

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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)

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Evaluate: limx → 0 (sin 4x/sin 2x)

Verified Answer

Evaluate: limx → 0 (sin 4x/sin 2x)

Verified Answer

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

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