# Math Help - Limits

1. ## Limits

lim 1/x + 3 = 3 right?
x -> ∞

lim
x -> ∞ 3x + 2/4x?

and

lim 5x - 8/7x^2 - 14?
x -> ∞

2. Do you mean $\lim_{x \to \infty} \frac{3x +2}{4x}$ ?

= $\lim_{x \to \infty} \frac{\frac{3x}{x} + \frac{2}{x}}{\frac{4x}{x}} = \lim_{x \to \infty} \frac{3+\frac{2}{x}}{4}= \frac{3+0}{4} =\frac{3}{4}$

3. For limits at infinity consider the ratio of the highest powered terms

lim(3x+2)/(4x) = lim 3x/4x = 3/4

lim(5x-8)/(7x^2-14) = lim 5x/7x^2 = lim 5/(7x) = 0