1
$\begingroup$

Let:

$g(x)=\frac{1}{1+e^{1/(x-1)}}$

for $x\ne 1$ and $g(x)=a$ for $x=1$.

For what values of $a$ will $g(x)$ be continuous for every $x$?

Thanks in adavance!

  • 0
    Will apply this from now on. Thanks.2012-12-28

1 Answers 1

1

Hint Look at $\lim\limits_{x\rightarrow1^+}g(x)$ and $\lim\limits_{x\rightarrow1^-}g(x)$ to determine what $a$ needs to be.

  • 0
    @pie No problem.2012-12-28