Calculus

Limits of Functions

Limits - To Infinity

         

Evaluate

limx(2x3). \lim_{x \to \infty} (2x-3).

Evaluate limx3x2. \lim_{x \to \infty} \frac{3}{x^2}.

Evaluate limyy+2y3. \lim_{y \to \infty} \frac{y+2}{y-3}.

Evaluate

limx2xx2. \lim_{x \to \infty} \frac{2^x}{x^2}.

Hint: You can refer to the following graphs of y=2x y= 2^x and y=x2 y= x^2 .

Evaluate

limt(1t2+1). \lim_{ t \to \infty} \left( \frac{1}{t-2} + 1 \right).

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