Determine the value of the constant `m` so that the function `f(x)={m(x^2-2x),ifx<0cosx ,ifxgeq0` is continuous.

Answer

Hence, the value of `m=0`

Explanation

ATQ,

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


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

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