Evaluate .
Hint
A little factoring review never hurt anyone. That we know of.
Answer
The limit as x approaches 0 is 1.
Factoring both the top and bottom will clear this one out.
The limit as x approaches 2 is .
Polynomial division factors the numerator to (x + 1)(x2 + x – 2).
The limit as x approaches -1 is -2.
Multiplying by the conjugate results in the function .
The limit as x approaches 3 is .
The function after its conjugational visit is .
The limit as x approaches 0 is .
The denominator will always be positive.
The limit as x approaches -1 is ∞.
The sign of x3 depends on the sign of x.
The limit as x approaches 0 Does Not Exist.
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