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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 14: Q. 5 (page 905)

find the limit $\lim_{x 鈫� 2} (5 x + 6)^{3 / 2}$

Short Answer

Expert verified

$\lim_{x 鈫� 2} (5 x + 6)^{3 / 2} = 64$

Step by step solution

Step 1. Given information

$\lim_{x 鈫� 2} (5 x + 6)^{3 / 2} = 64$

Step 2. Limit of the function

We can find limit of root function by $\lim_{x 鈫� c} f (x) = f (c)$ if c is in the domain of f(x) and the domain of f(x)= $(5 x + 6)^{3 / 2}$ is $[\frac{- 6}{5}, 鈭�]$ . So here c is 2 and is in the domain .We an use the above formula.