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anonymous
 one year ago
I need help finding this limit.
anonymous
 one year ago
I need help finding this limit.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 0} \left( x+Deltax^22(x+Deltax)+1(x^2+2x+1)/Deltax \right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this? \[\lim_{x \rightarrow 0} \left( \frac{(x+\Delta x)^22(x+\Delta x)+1(x^2+2x+1)}{\Delta x} \right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, sorry for not inputting it correctly.

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0\(\Delta\) can be inputed by typing \Delta

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0Put a space after the command so the software can recognize it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0np. and is \(x\) or \(\Delta x\) approaching 0?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0just x is approaching 0, not \Delta

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0\frac{a}{b} \[ \frac{a}{b} \] \lim_{x \to 0} \left( \frac{x+\Delta x^22(x+\Delta x)+1(x^2+2x+1)}{\Delta x} \right) \[ \lim_{x \to 0} \left( \frac{x+\Delta x^22(x+\Delta x)+1(x^2+2x+1)}{\Delta x} \right) \]

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0Does the limit has anything to do with derivatives? This is the definition of the derivative except the definition of the derivative has \(\Delta x\to 0\) not \(x\to 0\).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It looked like the definition of the derivative, but it would have to be \(\Delta x\) approaching 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I'm sorry, it is \[\Delta x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, so you should start by multiplying everything out in the numerator. Using foil and distribution.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, I'll start out by doing that and but what am I going to do about \[\Delta x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Treat it as just another variable. For example that middle term would be \[2(x +\Delta x)= 2x2\Delta x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay, so we wouldn't be doing final minus initial. That's what I was confused about. Thank you so much!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you're welcome. keep it as \(\Delta x\) because once you're done simplifying the numerator, the denominator will cancle out

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know how to find limits by looking at a graph and discussing the continuity of the function? I'm lost on a (16) on this page in my textbook.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know how to find limits by looking at a graph and discussing the continuity of the function? I'm lost on a (16) on this page in my textbook.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know how to find limits by looking at a graph and discussing the continuity of the function? I'm lost on a (16) on this page in my textbook.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you post the picture?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, one moment, my school's internet is very slow.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry for some reason, it just won't send, but I have to go to class. I'll ask my instructor and see if he can clarify. Thank you so much for all your help, it really means a lot to me!
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