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Given f(x)={x^2-2x+3 for x< 1 an...

Given `f(x)={x^2-2x+3` for `x< 1` and 2 for `x=1` then `2x^2-5x+5` for `x> 1` Examine the continuity and differentiability of the function `f(x)` at `x=1`.

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