If f(a) = 2, g(a) = −1, f'(a) =1, g'(a) = 2, then the value of $\underset{x→a}{\lim}\frac{f(x).g(a)-f(a).g(x)}{x-a}=$ |
5 -5 -6 none of these |
-5 |
$\underset{x→a}{\lim}\frac{f(x).g(a)-f(a).g(x)}{x-a}$ $[\frac{0}{0}form]$ $\underset{x→a}{\lim}\frac{f'(x).g(a)-f(a).g'(x)}{1}=f'(a)g(a)-f(a).g'(a)=1.(-1)-2.2=-5$ |