(a) Provide an example of a sequence (an)neN such that a2m → 2 but (an)nen does not converge to 2. (b) Draw the graph of a function ƒ : [0, 1] → R, with ƒ(0) < 0, ƒ(1) > 0 and ƒ(x) ‡ 0 for all x = [0, 1].

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(a) Provide an example of a sequence (an)neN such that a2m → 2 but (an)neN does not
converge to 2.
(b) Draw the graph of a function f : [0, 1] → R, with ƒ(0) < 0, ƒ(1) > 0 and f(x) ‡ 0 for
all x = [0, 1].
Transcribed Image Text:(a) Provide an example of a sequence (an)neN such that a2m → 2 but (an)neN does not converge to 2. (b) Draw the graph of a function f : [0, 1] → R, with ƒ(0) < 0, ƒ(1) > 0 and f(x) ‡ 0 for all x = [0, 1].
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