Basic Limit Laws in Calculus

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4 Questions

What is the limit of $x^2$ as $x$ approaches 3?

$3^2 = 9

If $\lim_{x \to 5} f(x) = 7$ and $\lim_{x \to 5} g(x) = 3$, what is $\lim_{x \to 5} (f(x) - 2g(x))$?

1

If $\lim_{x \to 4} f(x) = 2$ and $\lim_{x \to 4} g(x) = -1$, what is $\lim_{x \to 4} \frac{f(x)}{g(x)}$?

$\frac{2}{-1} = -2$

If $\lim_{x \to 1} f(x) = 3$ and $\lim_{x \to 1} g(x) = 2$, what is $\lim_{x \to 1} (f(x)g(x))$?

$3 \cdot 2 = 6$

Test your understanding of basic limit laws in calculus, including constant multiple theorem, addition theorem, and multiplication theorem. Practice evaluating limits when approaching a specific value.

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