If Limx→2xn-2x-2 = 80 Then Find The Value Of N.
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if `lim_(x -> 2) (x^"n"- 2^"n")/(x - 2)` = 80 then find the value of n.
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`lim_(x -> 2) (x^"n"- 2^"n")/(x - 2)` = 80
∴ n(2)n–1 = 80 ...`[lim_(x -> "a") (x^"n" - "a"^"n")/(x - "a") = "na"^("n" - 1)]`
∴ n(2)n–1 = 5 x 16= 5 x (2)4∴ n(2)n –1 = 5 x (2)5–1∴ n = 5
shaalaa.comConcept of Limits - Algebra of Limits Report Error Is there an error in this question or solution?Q I.Q IV] 2)Q II. 1)Chapter 7: Limits - MISCELLANEOUS EXERCISE - 7 [Page 105]APPEARS IN
Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State BoardChapter 7 LimitsMISCELLANEOUS EXERCISE - 7 | Q I. | Page 105RELATED QUESTIONS
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