Question

Suppose f and g are continuous functions such that g(8) = 2 and the limit as x approaches 8 [3f(x) + f(x)g(x)]= 30.

Find f(8). Do you treat f(8) as if it is a variable and solve for it?

Answer 1

That's usually fine when evaluating limits so long as you don't get any funny terms such as \[\Large{0\over 0}\]which in this case you don't

Answer 2

so \[[3f(8) +2f(8)] = 30\]\[5f(8)=30\]\[f(8)=6\]

Answer 3

Yep. I got this right. Thank you.