SOLUTION: If lim x approaches;0 f(x)/Ax^4+Bx^3 =C, where A,B,C are constants. Find lim approaches;0 f(x)/x^2

Algebra ->  Equations -> SOLUTION: If lim x approaches;0 f(x)/Ax^4+Bx^3 =C, where A,B,C are constants. Find lim approaches;0 f(x)/x^2      Log On


   

Question 1105002: If lim x approaches;0 f(x)/Ax^4+Bx^3 =C, where A,B,C are constants.
Find lim approaches;0 f(x)/x^2
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If lim%28x-%3E0%2C%28f%28x%29%2F%28Ax%5E4%2BBx%5E3%29%29%29=C , lim%28x-%3E0%2C%28f%28x%29%2Fx%5E2%29%29=0 ,
because
f%28x%29%2Fx%5E2%22=%22%28f%28x%29%2F%28Ax%5E4%2BBx%5E3%29%29%28%28Ax%5E4%2BBx%5E3%29%2Fx%5E2%29%22=%22%28f%28x%29%2F%28Ax%5E4%2BBx%5E3%29%29%28Ax%5E2%2BBx%29
and
lim%28x-%3E0%2C%28Ax%5E2%2BBx%29%29=0