Question: Let a,binR, and let f:[a,b]Rbe a monotonic function.(a) Prove that for all cin(a,b),limxcf(x) and limxc'f(x) both exist. Use this result todeduce that iffis not continuous,

Let a,binR, and let f:[a,b]Rbe a monotonic function.(a) Prove that for all cin(a,b),limxcf(x) and limxc'f(x) both exist. Use this result todeduce that iffis not continuous, it can have only jump discontinuities.

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