Jika x→0lim​xsin​=1, maka x→0lim​(x22​−x2tanxsin2x​)=...

Pertanyaan

J i k a space limit as x rightwards arrow 0 of sin over x equals 1 comma space m a k a space limit as x rightwards arrow 0 of open parentheses 2 over x squared minus fraction numerator sin 2 x over denominator x squared tan x end fraction close parentheses equals...

  1. -2

  2. -1

  3. 0

  4. 1

  5. 2

A. Acfreelance

Master Teacher

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Pembahasan

limit as x rightwards arrow 0 of open parentheses 2 over x squared minus fraction numerator sin 2 x over denominator x squared tan x end fraction close parentheses equals...  limit as x rightwards arrow 0 of open parentheses 2 over x squared minus fraction numerator sin 2 x over denominator x squared tan x end fraction close parentheses equals limit as x rightwards arrow 0 of open parentheses 2 over x squared minus fraction numerator sin 2 x over denominator x squared begin display style fraction numerator sin x over denominator cos x end fraction end style end fraction close parentheses  limit as x rightwards arrow 0 of open parentheses 2 over x squared minus fraction numerator sin 2 x over denominator x squared tan x end fraction close parentheses equals limit as x rightwards arrow 0 of open parentheses 2 over x squared minus fraction numerator 2 cos squared x over denominator x squared end fraction close parentheses  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 0 of 2 over x squared left parenthesis 1 minus cos squared x right parenthesis  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 limit as x rightwards arrow 0 of fraction numerator sin squared x over denominator x squared end fraction  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 left parenthesis 1 right parenthesis  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2

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Hasil x→0lim​ 2x−sin 4xx+tan 3x​ adalah ....

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