Find the indicated limit given the following.
lim_(x->a)f(x)= 10 and lim_(x->a)g(x) = 12
lim_(x->a)(f(x)*g(x)) =
To find the limit of a product, such as the limit of f(x) multiplied by g(x), when x approaches a, we can use the following rule:
If lim_(x->a)f(x) = L and lim_(x->a)g(x) = M, then lim_(x->a)(f(x)*g(x)) = L * M.
Therefore, in this case, where lim_(x->a)f(x) = 10 and lim_(x->a)g(x) = 12, the limit of (f(x)*g(x)) when x approaches a is:
lim_(x->a)(f(x)*g(x)) = 10 * 12 = 120.