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# Consider a function f : R â†’ R which is differentiable andsatisfies limxâ†’âˆž f 0 (x) = 0. Prove that we have limxâ†’âˆž (f(x + 1) âˆ’f(x...

## Question

###### Consider a function f : R â†’ R which is differentiable andsatisfies limxâ†’âˆž f 0 (x) = 0. Prove that we have limxâ†’âˆž (f(x + 1) âˆ’f(x)) = 0.

Consider a function f : R â†’ R which is differentiable and satisfies limxâ†’âˆž f 0 (x) = 0. Prove that we have limxâ†’âˆž (f(x + 1) âˆ’ f(x)) = 0.

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