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There are infinite limits, which are when the ends of a function go on to infinity and don't approach an asymptote. They have no maximum/minimum and can reach every point on the number line.

There also are indefinite integrals, which is the area between a curve and a line (say the x-axis), without a bounded region. These end in +C because the constant that may have been lost in the derivation process is unknown. If you have a point on the curve, you can find what C is, but in the neantime, an indefinite integral simply put is the area under a curve.

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Q: What are indefinite limits in calculus?
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