SOLUTION: If lim x approachess 0 f(x)/Ax^4+Bx^3 =C.where A,B,C are constans.find lim x approachess 0 f(x)/x^2

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


   



Question 1105090: If lim x approachess 0 f(x)/Ax^4+Bx^3 =C.where A,B,C are constans.find lim x approachess 0 f(x)/x^2
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
You may want a 2nd opinion. Here is what I get:
Lim x—>0 +++%28f%28x%29%2F%28Ax%5E4%2BBx%5E3%29%29+=+C+ A,B,C constants
Lim x—>0 ++%28f%28x%29%2Fx%5E2%29+%2A+%281%2F%28Ax%5E2%2BBx%29%29+ = C
Lim x—>0 ++%28f%28x%29%2Fx%5E2%29+ * Lim x—>0 ++%281%2F%28Ax%5E2%2BBx%29%29+ = C
Lim x—>0 ++%28f%28x%29%2Fx%5E2%29+ = C / ( Lim x—>0 ++%281%2F%28Ax%5E2%2BBx%29%29+ )
The RHS denominator goes off to infinity, so C/denominator —> 0
Lim x—>0 +highlight%28++%28f%28x%29%2Fx%5E2%29++=+0+%29++