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What is limit in calulus?

Updated: 8/21/2019
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6y ago

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Some functions are not defined for selected values of their argument. But, as you calculate the value of the function nearer and nearer to these selected values, you get a consistent result - whichever side you approach the critical value from.

For example, sin(x)/x [where the angle x is measured in radians] is not defined for x = 0 since it would be 0/0 which is undefined. However, as x approaches 0, from the negative or positive side, the value of the function gets closer and closer to 1. In this case, the limit of sin(x)/x, as x approaches 0, is said to be 1.

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6y ago
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6y ago

It means that you analyze what happens when a variable gets closer and closer to a certain value, without actually reaching it.

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Q: What is limit in calulus?
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