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Popular Questions - Calculus

What are continuous functions?

We may also state two alternative definitions of , using either the sequential criterion or else using topology and open sets. Alternative definition number 1 Let ##f: X ->Y## be a function and let...

What is Infinity?

It depends on the context… ##bb +-## Infinity and limits Consider the set of Real numbers ##RR##, often pictured as a line with negative numbers on the left and positive numbers on the right....

What is the taylor series of ##xe^x##?

aaaah now here’s a fun question. I kinda wanna thank you for asking it! Here’s my answer, if you just want this in a rush: If ##f(x) = xe^x##, then you can actually write an exact sum:...