Math problem with limits?
3x^8 −2x^4 + 1 / −7x^12 −5x^3 + x
Answer is 0.What i do is differentiate it first.Factor the top part like 8x^3(3x^4-1).I make a reduction with the bottom part and removing all the top x.Then we have constans over infinity which is 0.Am i stupid ? Is that how you do it ?
- Steve ALv 74 months ago
The term with the highest exponent dominates as you approach infinity.
The denominator's exponent is larger, so this goes to 0.
If the denominator's exponent were smaller, it would go to -infinity. Negative because of the sign.
If the largest exponents were the same, it would go to a simple fraction of the leading coefficients. -3/7