Limit as x-Approaches /- Infinity

1
Limit as x-Approaches /- Infinity

• Looking for the highest power of a variable
• Example x4 3x2 5x, then x4 is the highest
  power.
• Three possibilities
• Highest power of variable in numerator
• Highest power of variable in denominator
• Equal highest power only

2
Limit as x-Approaches /- Infinity

• Highest power of variable in numerator
• Limit is either positive or negative infinity.
• Divide highest power of numerator by highest
  power of denominator.
• Take resulting rational quotient and plug in x
  value.
• Check signs and exponent to determine /-

3
Limit as x-Approaches /- Infinity

• Highest power of variable in denominator
• Limit is zero.

4
Limit as x-Approaches /- Infinity

• Equal highest power only
• Limit is the resulting fraction of the
  coefficients.