limx2 X2+4x-1/x2-2x

Asked by amrit030402 | 19th Apr, 2022, 05:04: PM

Expert Answer:

To find limit:
limit as straight x rightwards arrow 2 of fraction numerator straight x squared plus 4 straight x minus 1 over denominator straight x squared minus 2 straight x end fraction
equals limit as straight x rightwards arrow 2 of fraction numerator 2 straight x plus 4 over denominator 2 straight x minus 2 end fraction space space space... space straight L apostrophe Hospital space Rule
equals limit as straight x rightwards arrow 2 of fraction numerator straight x plus 2 over denominator straight x minus 1 end fraction
equals fraction numerator 2 plus 2 over denominator 2 minus 1 end fraction
equals 4

Answered by Renu Varma | 19th Apr, 2022, 05:50: PM

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