Question
Find $\mathrm{k}$ if the following function is continuous at the point indicated against them:
$
\left.\begin{array}{rl}
f(x)=\frac{45^x-9^2-5^x+1}{\left(k^2-1\right)\left(3^2-1\right)}, & \text { for } x \neq 0 \\
=\frac{2}{3}, & \text { for } x=0
\end{array}\right\} \text { at } \mathrm{x}=0
$
$
\left.\begin{array}{rl}
f(x)=\frac{45^x-9^2-5^x+1}{\left(k^2-1\right)\left(3^2-1\right)}, & \text { for } x \neq 0 \\
=\frac{2}{3}, & \text { for } x=0
\end{array}\right\} \text { at } \mathrm{x}=0
$