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January 14th, 2018, 12:31 PM   #1
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Calc Limits

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

Image: https://ibb.co/ne2i6m

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 14th, 2018 at 11:48 PM.
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January 14th, 2018, 01:16 PM   #2
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$\lim \limits_{x\to 2+} f(x)$

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
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January 14th, 2018, 01:19 PM   #3
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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.
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January 14th, 2018, 05:38 PM   #4
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Thank you both for your help! I realized that I was not putting my answer in terms of m which resulted in my confusion.
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January 14th, 2018, 08:53 PM   #5
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Quote:
Originally Posted by dnice View Post
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?
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January 15th, 2018, 07:05 AM   #6
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Quote:
Originally Posted by Typhon View Post
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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