You need to be careful when writing math online. What you wrote as y= (1/x-1) implies y = \frac{1}{x} - 1. I suspect you meant to write y = \frac{1}{x-1} as that function gives the correct answer.
You plugged in values wrong right from the start which is why your answer is wrong. Let's rewrite your function as f(x) = \frac{1}{x-1}. Now you need to compute \displaystyle\lim_{h \rightarrow 0} \frac{f(x+h) - f(x)}{h}. Now, what does f(x+h) equal? Remember, you need to plug in the value (x+h) where ever you see an x.
#3
mtayab1994
584
0
I made a mistake on the tex look at the next reply.
#4
mtayab1994
584
0
Well this question is fairly simple, all you have to do is take the derivative of the equation:
f(x)=\frac{1}{x-1} and then calculate the limit:
\lim_{x\rightarrow2}f'(x) and you should get the same answer that your textbook has.
Ps: the derivative is the slope of the tangent line at a certain point.
#5
rafay233
8
0
could you guys tell me what you are using to make the fractions look like that? So no one gets confused?
#6
scurty
392
17
rafay233 said:
could you guys tell me what you are using to make the fractions look like that? So no one gets confused?
We are using a code called LaTeX, it makes all the math look pretty and readable.
I can give a quick little tutorial for fractions but to learn everything I'll redirect you to a website.
So, first of all, you must use TAGS to show that you want to type in code. The tags are
Code:
[itex][/itex]
. Everything between the tags will be put into code. What's nice about this forum is that if you see a pretty looking formula that was coded in LaTeX, you can right click on it and select Show Math As -> TeX commands to see what the code is. Try it out for ours above.
For basic fractions the code is
Code:
[itex]\frac{a}{b}[/itex]
which will look like: \frac{a}{b}. Everything you put in the first set of brackets will go in the numerator, everything in the second will go in the denominator. You can even do fractions in fractions:
Code:
[itex]\frac{\frac{c}{d}}{b}[/itex]
= \frac{\frac{c}{d}}{b}.
To learn more if you want, try these two sites out:
