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N i l ai d a r i x → 2 lim ​ ( x − 2 2 x 2 − 8 ​ ) + ( 2 x − 4 x 2 − 2 x ​ ) = ....

  1. 5

  2. 6

  3. 7

  4. 8

  5. ~

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Pembahasan

limit as x rightwards arrow 2 of open parentheses fraction numerator 2 x squared minus 8 over denominator x minus 2 end fraction close parentheses plus open parentheses fraction numerator x squared minus 2 x over denominator 2 x minus 4 end fraction close parentheses  equals limit as x rightwards arrow 2 of fraction numerator 2 left parenthesis 2 x squared minus 8 right parenthesis plus x squared minus 2 x over denominator 2 x minus 4 end fraction  equals limit as x rightwards arrow 2 of fraction numerator 5 x squared minus 2 x minus 16 over denominator 2 x minus 4 end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis 5 x plus 8 right parenthesis left parenthesis x minus 2 right parenthesis over denominator 2 left parenthesis x minus 2 right parenthesis end fraction  equals limit as x rightwards arrow 2 of fraction numerator 5 x plus 8 over denominator 2 end fraction  equals limit as x rightwards arrow 2 of fraction numerator 5 left parenthesis 2 right parenthesis plus 8 over denominator 2 end fraction  equals 9

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Selidiki fungsi tersebut mempunyai limit atau tidak x → 1 lim ​ x 2 − 1 x 4 − 1 ​ ,berikan alasan!

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