Pertanyaan

Nilai dari x → − 2 lim sin 2 ( x + 2 ) ( x 2 − 4 ) ⋅ tan ( x + 2 ) =

Nilai dari $x \to - 2 lim \frac{( x ^{2} - 4 ) \cdot tan ( x + 2 )}{sin ^{2} ( x + 2 )} =$

-4
-3
0
4

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Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow negative 2 of fraction numerator left parenthesis x squared minus 4 right parenthesis times tan left parenthesis x plus 2 right parenthesis over denominator sin squared left parenthesis x plus 2 right parenthesis end fraction equals limit as x rightwards arrow negative 2 of fraction numerator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis tan left parenthesis x plus 2 right parenthesis over denominator sin to the power of straight space left parenthesis x plus 2 right parenthesis sin to the power of straight space left parenthesis x plus 2 right parenthesis end fraction equals limit as x rightwards arrow negative 2 of fraction numerator left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis tan left parenthesis x plus 2 right parenthesis over denominator sin to the power of straight space left parenthesis x plus 2 right parenthesis sin to the power of straight space left parenthesis x plus 2 right parenthesis end fraction cross times fraction numerator left parenthesis x plus 2 right parenthesis over denominator left parenthesis x plus 2 right parenthesis end fraction equals limit as x rightwards arrow negative 2 of fraction numerator left parenthesis x plus 2 right parenthesis over denominator sin to the power of straight space left parenthesis x plus 2 right parenthesis end fraction cross times limit as x rightwards arrow negative 2 of left parenthesis x minus 2 right parenthesis cross times limit as x rightwards arrow negative 2 of fraction numerator tan left parenthesis x plus 2 right parenthesis over denominator left parenthesis x plus 2 right parenthesis end fraction cross times limit as x rightwards arrow negative 2 of fraction numerator left parenthesis x plus 2 right parenthesis over denominator sin to the power of straight space left parenthesis x plus 2 right parenthesis end fraction equals 1 cross times left parenthesis negative 2 minus 2 right parenthesis cross times 1 cross times 1 equals negative 4$