# Questions tagged [real-analysis]

For questions about real analysis, a branch of mathematics dealing with limits, convergence of sequences, construction of the real numbers, least upper bound property and related analysis topics, such as continuity, differentiation, and integration through the Fundamental Theorem of Calculus.

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### Why is $1^{\infty}$ considered to be an indeterminate form

From Wikipedia: In calculus and other branches of mathematical analysis, an indeterminate form is an algebraic expression obtained in the context of limits. Limits involving algebraic operations are ...
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### Create a function

How would I go about creating a polynomial $f$ such that \begin{align*} f(x) &= A_1\\ f(y) &= A_2\\ f'(x) &= B_1\\ f'(y) &= B_2 \end{align*} With $x$ not equal to $y$ and $A_1$, $A_2$, ...
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### How much a càdlàg (i.e., right-continuous with left limits) function can jump?

I have changed the title (replaced "well-behaved" by "càdlàg"), since it seems that "a well-behaved function" might be interpreted as "a function of bounded variation" (rather than "a càdlàg function",...