SOLUTION: evaluate the following limits, briefly showing some work or explanation lim x→infinity 4x+3x^2/4x^2+3x and lim→negative infinity 3x^-2+5x+7 Help me please

Algebra ->  Trigonometry-basics -> SOLUTION: evaluate the following limits, briefly showing some work or explanation lim x→infinity 4x+3x^2/4x^2+3x and lim→negative infinity 3x^-2+5x+7 Help me please      Log On


   

Question 982457: evaluate the following limits, briefly showing some work or explanation
lim x→infinity 4x+3x^2/4x^2+3x
and
lim→negative infinity 3x^-2+5x+7
Help me please?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
By this, 4x+3x^2/4x^2+3x, you may really mean %284x%2B3x%5E2%29%2F%284x%5E2%2B3x%29;
%283x%5E2%2B4x%29%2F%284x%5E2%2B3x%29

%28x%2Fx%29%28%283x%2B4%29%2F%284x%2B3%29%29, and x%2Fx will not affect this limit;

Degree of leading term in numerator and denominator are equal; leading coefficient take more strength as x approaches or tends toward infinity; so the limit as x approaches infinity is 3%2F4.