Determine the value of the constant `m` so that the function `f(x)={m(x^2-2x)\ \ \ ,\ \ \ if\ x<0cosx\ \ \ ,\ \ \ if\ xgeq0` is continuous.

Explanation

`f(x)` is continuous at `x=0`


If `f(x)` is continuous at `x=0`, then



`f(0)^{-}=f(0)^{+}=f(0) `


`=> lim _{h => 0} cos (0-h) `


`=> lim _{h => 0} cos (-h) `


`=> lim _{h => 0} cos (h) `


`therefore cos (0)=1 `


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