15.
For what value of k is the following function continuous at x = 2:
5x + 2 - 4x + 4
x - 2
if x # 2
f(x)=
[C
k , if x = 2
![\ \textless \ br /\ \textgreater \ For what value of k is the following function continuous at x = 2:\ \textless \ br /\ \textgreater \ \sqrt[2] 5x + 2 - \sqrt{2} 4x + 4\ \textless \ br /\ \textgreater \ x - 2\ \textless \ br /\ \textgreater \ if x # 2\ \textless \ br /\ \textgreater \ f(x)=\ \textless \ br /\ \textgreater \ [C\ \textless \ br /\ \textgreater \ k , if x = 2](https://tex.z-dn.net/?f=%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+For+what+value+of+k+is+the+following+function+continuous+at+x+%3D+2%3A%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+++%5Csqrt%5B2%5D+5x+%2B+2+-++%5Csqrt%7B2%7D+4x+%2B+4%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+x+-+2%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+if+x+%23+2%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+f%28x%29%3D%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+%5BC%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+k+%2C+if+x+%3D+2 "\ \textless \ br /\ \textgreater \ For what value of k is the following function continuous at x = 2:\ \textless \ br /\ \textgreater \ \sqrt[2] 5x + 2 - \sqrt{2} 4x + 4\ \textless \ br /\ \textgreater \ x - 2\ \textless \ br /\ \textgreater \ if x # 2\ \textless \ br /\ \textgreater \ f(x)=\ \textless \ br /\ \textgreater \ [C\ \textless \ br /\ \textgreater \ k , if x = 2")
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