Question

evaluate the limit. estimate the value of lim x is approaching 0 (x)/√(1+3x)-1. b. make a table of values of f(x) for x close to 0 and guess the value of the limit.

Answer 1

please help me!!!!

Answer 2

is this
\[\frac{x}{\sqrt{1+3x}-1}\]?

Answer 3

limit is
\[\frac{2}{3}\] but you are supposed to guess from the evidence, so get a calculator (or better yet a spread sheet) and start plugging in smaller and smaller numbers, like say
.1,
.01,
.001 and see what you get

Answer 4

yes that's it! how do you figure out the limit because i can't find my graphing calculator. so how did you find 2/3

Answer 5

i know some easy tricks, like l'hopital's rule, but you don't know them yet. soon though...