Roboguru

limit as x rightwards arrow 0 of fraction numerator sin open parentheses x close parentheses cos open parentheses x close parentheses over denominator square root of straight pi plus 2 sin open parentheses straight x close parentheses end root minus square root of straight x end fraction equals....

  1. negative 2 square root of straight pi

  2. negative square root of straight pi

  3. 0

  4. square root of straight pi

  5. 2 square root of straight pi

Jawaban:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application xcos invisible function application straight x over denominator square root of straight pi plus 2 sin invisible function application straight x end root minus square root of straight pi end fraction end cell equals cell limit as straight x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application xcos invisible function application straight x over denominator square root of straight pi plus 2 sin invisible function application straight x end root minus square root of straight pi end fraction. fraction numerator square root of straight pi plus 2 sin invisible function application straight x end root plus square root of straight pi over denominator square root of straight pi plus 2 sin invisible function application straight x end root plus square root of straight pi end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application xcos invisible function application straight x open parentheses square root of straight pi plus 2 sin invisible function application straight x end root plus square root of straight pi close parentheses over denominator open parentheses square root of straight pi plus 2 sin invisible function application straight x end root close parentheses squared minus open parentheses square root of straight pi close parentheses squared end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application xcos invisible function application straight x open parentheses square root of straight pi plus 2 sin invisible function application straight x end root plus square root of straight pi close parentheses over denominator open parentheses straight pi plus 2 sin invisible function application straight x close parentheses minus open parentheses straight pi close parentheses end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application xcos invisible function application straight x open parentheses square root of straight pi plus 2 sin invisible function application straight x end root plus square root of straight pi close parentheses over denominator 2 sin invisible function application straight x end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of invisible function application fraction numerator cos invisible function application straight x open parentheses square root of straight pi plus 2 sin invisible function application straight x end root plus square root of straight pi close parentheses over denominator 2 end fraction end cell row blank equals cell fraction numerator cos invisible function application 0 open parentheses square root of straight pi plus 2 sin invisible function application 0 end root plus square root of straight pi close parentheses over denominator 2 end fraction end cell row blank equals cell fraction numerator 1 open parentheses square root of straight pi plus 0 end root plus square root of straight pi close parentheses over denominator 2 end fraction end cell row blank equals cell box enclose square root of straight pi end enclose end cell end table

0

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