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Infinite limits (KristaKingMath)
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Learn how to calculate an infinite limit. In order to determine whether or not the function has an infinite limit as x approaches a specific point, you'll need to first confirm that your function as a vertical asymptote and the point you're approaching. The function will have a vertical asymptote where it is undefined because the denominator of the function is equal to zero. Then you'll need to plug in values close to and on both sides of the number you're approaching. If the value of the function gets very large as you approach the vertical asymptote, then the limit is positive infinity. If the values get very large but negative as you approach the vertical asymptote, then the limit is negative infinity. Remember that infinite limits don't technically exist, but because it gives us so much more information about the function to say that the limit is positive of negative infinity, we'll often provide that answer instead of stating that the limit does not exist (DNE). If the one-sided limits are not equal, there is no general limit.
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
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