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Limits of Functions

What happens when a function's output isn't calculable directly – e.g., at infinity – but we still need to understand its behavior? That's where limits come in. See more

At a Finite Value

Evaluate \(\displaystyle \lim_{x \to 7} \ (x + 7)\).

Evaluate

\[ \lim_{x \to -2}\frac{x^2 -4}{x+2}. \]

Evaluate

\[ \lim_{t \to 1} \frac{t^2+t-2}{t^2-1}. \]

Evaluate

\[ \lim_{x \to 0} \frac{x^2 - 5x + 4}{x^3 - 4x^2}. \]

Evaluate

\[ \lim_{x \to 2} \frac{x+4}{x+1}. \]

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