really? aside from the limit, this is just Algebra I
3(4*g(3) + 7g(3)) = 12
11g(3) = 4
g(3) = 4/11
Suppose f and g are continuous functions such that f(3) = 4 and limx→3[f(x)g(x)+7g(x)] = 12. Find g(3).
4 answers
Just plug in the limit:
limx→3 [f(x)g(x)+7g(x)] = 12
f(3)g(3) + 7g(3) = 12
4g(3) + 7g(3) = 12
11g(3) = 12
g(3) = 12/11
@oobleck I think you accidentally multiplied the limit by the expression
limx→3 [f(x)g(x)+7g(x)] = 12
f(3)g(3) + 7g(3) = 12
4g(3) + 7g(3) = 12
11g(3) = 12
g(3) = 12/11
@oobleck I think you accidentally multiplied the limit by the expression
oops - my bad. time to clean my glasses ...
lol it happens
1 answer