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?

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?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Yep. I got this right. Thank you.