finding a limit using only algebra

**Yamahammer342** · February 19th 2009, 02:05 PM

Use algebra to find the Limit as X approaches infinity of (1+12x) / (8-3x)

not being able to use the properties of limits and such, I have no clue where to even start.

**skeeter** · February 19th 2009, 02:15 PM

Originally Posted by Yamahammer342

Use algebra to find the Limit as X approaches infinity of (1+12x) / (8-3x)

not being able to use the properties of limits and such, I have no clue where to even start.

$\lim_{x \to \infty} \frac{1+12x}{8-3x} =$

divide every term by x ...

$\lim_{x \to \infty} \frac{\frac{1}{x}+12}{\frac{8}{x}-3} = \frac{12}{-3} = -4<br />$

**Plato** · February 19th 2009, 02:19 PM

Originally Posted by Yamahammer342

Use algebra to find the Limit as X approaches infinity of (1+12x) / (8-3x) not being able to use the properties of limits and such, I have no clue where to even start.

$\frac{{1 + 12x}}{{8 - 3x}} = \frac{{\frac{1}{x} + 12}}{{\frac{8}<br /> {x} - 3}}$
That is all the algebra there is to it.
Now I have no idea what you are expected to do other than to realize that
$\frac{1}{x} \to 0\text{ as } x \to \infty$

Thread: finding a limit using only algebra

LinkBack

Thread Tools

Display

finding a limit using only algebra

Similar Math Help Forum Discussions

derivation of a limit problem .. algebra help needed!

Finding limit of this function, using Limit rules

Finding a limit. Finding Maclaurin series.

Finding this limit using Algebra

help with algebra in calc question: infinite limit

Search Tags