Evaluate the limit. Limit as t approaches 2 of (t^2 - 4)/(t - 2).

Question:

Evaluate the limit.

{eq}\lim_{t \rightarrow 2} \frac{t^2 - 4}{t - 2} {/eq}

Evaluating Limits:

If limit of a function y = f(x) exists at a point x = a, then it can be evaluated using algebraic manipulations, expansions etc. A very general case is {eq}\mathop {\lim }\limits_{x \to a} \frac{{{x^2} - {a^2}}}{{x - a}} {/eq}. This limit can be evaluated by canclelling out common factors from numerator and the denominator.

Factorize the numerator and cancel out common factors, proceed as follows:

{eq}\begin{array}{l} \mathop {\lim }\limits_{t \to 2} \frac{{{t^2} -...

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