My Math Forum Calc Limits

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January 14th, 2018, 01:31 PM   #1
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Calc Limits

Also, I would like to have an explanation so I can understand how to do this.

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I understand limits in general, just not what this problem asks for; help is very appreciated, please, and thank you!
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Last edited by skipjack; January 15th, 2018 at 12:48 AM.

 January 14th, 2018, 02:16 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,299 Thanks: 1220 $\lim \limits_{x\to 2+} f(x)$ means the limit of $f(x)$ as $x$ approaches $2$ from the right. Similarly $\lim \limits_{x\to 2-} f(x)$ refers to when $x$ approaches $2$ from the left. So for example $\lim \limits_{x\to 2+} f(x) = \lim \limits_{x\to 2}~ -6x^2 + 2m = -24+2m$ I leave you to complete the problem
 January 14th, 2018, 02:19 PM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,599 Thanks: 2587 Math Focus: Mainly analysis and algebra The first asks for the limit as $x$ approaches $2$ from above (the right-sided limit). The second asks for the limit as $x$ approaches $2$ from below (the left-sided limit). The rest should be self-explanatory.
 January 14th, 2018, 06:38 PM #4 Newbie   Joined: Jan 2018 From: MI Posts: 11 Thanks: 1 Thank you both for your help! I realized that I was not putting my answer in terms of m which resulted in my confusion.
January 14th, 2018, 09:53 PM   #5
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Math Focus: Algebraic Number Theory / Differential Fork Theory
Quote:
 Originally Posted by dnice Thank you both for your help! I realized that I was not putting my answer in terms of m which resulted in my confusion.
Indeed, m is an independent variable and not an input to the function so it has to be considered when finding the values. Were you able to solve the third part?

January 15th, 2018, 08:05 AM   #6
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Quote:
 Originally Posted by Typhon Indeed, m is an independent variable and not an input to the function so it has to be considered when finding the values. Were you able to solve the third part?
Yes I was, thank you.

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