(g) For each fixed k, and each a such that 0 < a < 1, the series Enka" converges and thus, lim na" = 0 (h) Suppose that fn(z)| ≤ M₁ for ne N where (M) is a sequence of positive numbers. Then, the series Ef. (r) con- verges uniformly when M,, converges.

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A: We can find the limit as below.

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Q: 4

A:

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A: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

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