[SPLIT] Limits: lim, x->4, [1/(x+4)-(1/4)]/x

carmelo03

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Jun 23, 2013
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Hey how can I answer my assignment for calculus, the problem is lim, x->4, [1/(x+4)-(1/4)]/x
please help me T.T i dunno what to do :((
 
Hey how can I answer my assignment for calculus...
In general, it is better to post one's question as one's own ("new") thread, rather than inserting it inside somebody else's thread, where it is likely to be overlooked (or ignored, as not relevant to that thread). Also, it helps to show your work, thus far, or else specify that you need lesson instruction first, in order even to be able to get started. Right now, we have no idea what sort of assistance you might need.

the problem is lim, x->4, [1/(x+4)-(1/4)]/x
please help me T.T i dunno what to do :((
Please clarify what you mean by "dunno what to do". Have you not yet studied the topic of limits, so you're needing links to online lessons so you can learn about them? If you have studied limits, which part of the process do you not understand? You've taken algebra; you know how to add rational expressions and simplify complex fractions. Where are you getting stuck?

Please be specific. Thank you! ;)
 
lim, x->4, [1/(x+4)-(1/4)]/x

Please confirm that the limit is for x approaching positive four.

If so, then please check the rest of the typing above.

If everything is correct, you may evaluate the limit directly.

Let us know, if you're not sure what this means. :cool:
 
Hey how can I answer my assignment for calculus, the problem is lim, x->4, [1/(x+4)-(1/4)]/x
please help me T.T i dunno what to do :((
The problem is more challenging if x->0 instead of 4.

\(\displaystyle \displaystyle \lim_{x \to 0}\left[ \dfrac{1/(x+4) - 1/4}{x} \right] \)

This would look like 0/0 in the limit, which is an "indeterminant form," so you can't simply set x=0. Have you tried algebraic operations to get the expression in a simpler form? Show us your work. Even if you dunno what is going to work, surely you can try manipulating the expression to see what happens.

What are you currently studying? Have you been given any special methods to deal with such forms?
 
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