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Question
Evaluate the following limit:
`lim_(x -> 2)[(x^(-3) - 2^(-3))/(x - 2)]`
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Solution
`lim_(x -> 2)[(x^(-3) - 2^(-3))/(x - 2)]`
= (– 3) . (2)–4 ...`[because lim_(x -> "a") (x^"n" - "a"^"n")/(x - "a") = "na"^("n" - 1)]`
= `-3xx1/2^4`
= `-3/16`
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