This blog started in 2023 while I was teaching first-year university mathematics at UNSW (1131 and 1231). It contains a wide range of explanations, notes, and resources covering tertiary-level mathematics topics. The easiest ways to navigate are by using the search bar or browsing through the labels/tags. If you find my content helpful and would like to support my work, a coffee donation is greatly appreciated — thank you!
hello Jan, this is Kelvin from your Monday and Friday 9 AM tutorials :-D. I have a question. So, if there is an absolute value in the limit, we have to see the right hand and left hand limits of that absolute value alone first? and then put in the left hand and right hand limit of the full limit function?
Yes I think you have the idea, you have to consider the left and right limits, and see if they match. If they are equal then the limit exists, if they are not equal then the limit does not exist. Limits exist when the left and right limits are equal. Does that help?
hello Jan, this is Kelvin from your Monday and Friday 9 AM tutorials :-D. I have a question. So, if there is an absolute value in the limit, we have to see the right hand and left hand limits of that absolute value alone first? and then put in the left hand and right hand limit of the full limit function?
ReplyDeleteYes I think you have the idea, you have to consider the left and right limits, and see if they match. If they are equal then the limit exists, if they are not equal then the limit does not exist. Limits exist when the left and right limits are equal. Does that help?
Deleteyes thank you
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