Let f(x) = 9x2, x in QQ = 0, x not in QQ (a) Prove that f is continuous at exactly one point nameley at x = 0. (b) Prove that f is differentiable at exactly one point nameley at x = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f(x) = 9x2, x in QQ

= 0, x not in QQ

(a) Prove that f is continuous at exactly one point nameley at x = 0.

(b) Prove that f is differentiable at exactly one point nameley at x = 0.

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