(a) Suppose f and g are functions whose domains are subsets of Z*, the set of positive integers. Give the definition of 'f is O(g' (b) Use the definition of 'f is 0(g) to show that (i) 2" + 27 is O(3") (i) 5" is not O(4")

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Q: 4. Verify Rolle's Theorem for f(x) = x² – 2x + 1 on [-1,3]

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A: It is not uniformly convergent.

Q: 17-20 Express the limit as a definite integral on the given interval. 17. lim 2 x; In(1 + x}) Ax,…

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A: