For which values of alpha is this function continuous?

[itsrayex]

A. -2, 2
B. -1, 1
C. -1, 2
D -2, 2

What am I doing wrong?

 

[blamocur]

Why do you think you are doing something wrong?

 

[itsrayex]

Why do you think you are doing something wrong?

Because I am not getting any of the results stated in options from A-D. Could you please give me some hints?

 

[BigBeachBanana]

For the function to be continuous, [math]\lim_{x\to0^-}x+\alpha=\lim_{x\to 0^+}\frac{\log(x+1)}{\alpha x}\\ \alpha=\frac{1}{\alpha}[/math]Solve for [imath]\alpha[/imath].
PS: Your answer choices A and D are the same.