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**Unformatted text preview: **s but not differentiable. b) continuous and differentiable c) differentiable but not continuous Solution: lim x 0 f x lim x 0 d) neither continuous nor differentiable. 2x 0, lim x x0
lim x 0 f x lim x 0 2 2; lim x
differentiable at x 0
ANSWER: ”a” 0 f x lim x 5. At x 1, f is
a) continuous but not differentiable. 1 f x lim x at x 1
lim x 1 f x lim x 1 1 1 f 2 0 f 0 ; f is continuous at 0; these do not match so f is not d) neither continuous nor differentiable. x 2 1, lim x 2x 2, lim x 0 2x 0 x b) continuous and differentiable c) differentiable bu...

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