Learn how to solve limits by direct substitution problems step by step online. Find the limit of (4x+5)/(2x+3) as x approaches infinity. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions. Simplify the fraction \frac{4x}{x} by x. Evaluate the limit \lim_{x\to\infty }\left(\frac{4+\frac{5}{x}}{2+\frac{3}{x}}\right) by replacing all occurrences of x by \infty .

Find the limit of (4x+5)/(2x+3) as x approaches infinity