Question

Estimate the value of
lim as x -> 0 ( x / [(sqrt of 1+3x) -1 ].

Answer 1

use teh limit laws to prove taht you are correct

Answer 2

Multiply numerator and denominator with \[ \sqrt{1+3x}+1 \]

Answer 3

i did and i get

\[(\sqrt{1+3x} + 1) / 3x\]

Answer 4

what do i do next

Answer 5

when i graph it i get smthn taht looks like this
how does taht help me estimate the value of the limit?

Answer 6

You forgot to cancel out the x.

Answer 7

what happened to the x that was in the numerator

Answer 8

It's better to do it analytically.

Answer 9

The x in the denom cancels, and then you can just plug in x=0.

Answer 10

No 2/3

Answer 11

oh yeah srry

Answer 12

how does the graph of teh function help me estimate the value of teh function then?

Answer 13

b.c the question tehy ask is estimate teh value of teh function by graphing and make a table of values of f(x) close to 0 and guess the value of teh limit