Calculus

# Limits - To Infinity

Evaluate

$\lim_{x \to \infty} (2x-3).$

Evaluate $\lim_{x \to \infty} \frac{3}{x^2}.$

Evaluate $\lim_{y \to \infty} \frac{y+2}{y-3}.$

Evaluate

$\lim_{x \to \infty} \frac{2^x}{x^2}.$

Hint: You can refer to the following graphs of $y= 2^x$ and $y= x^2$.

Evaluate

$\lim_{ t \to \infty} \left( \frac{1}{t-2} + 1 \right).$

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