To evaluate: The value of
The limit of the function is
Difference of squares formula:
Difference of cubes formula:
Direct substitution property:
If f is a polynomial or a rational function and a is in the domain of f, then .
Obtain the limit of the function as x approaches 1 as follows.
Consider the function .
Take the limit of the function as x approaches 1.
Let . This implies that, . Then t approaches 1 as x approaches 1.
Apply the difference of squares and cubes formulae in the numerator and the denominator as follows,
Thus, the limit of the function is .
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