# Find the asymptotes of a function

**URL:** <https://discourse.julialang.org/t/find-the-asymptotes-of-a-function/51772>\
**Category:** New to Julia\
**Tags:** math\
**Created:** [December 13, 2020, 7:33pm UTC](https://discourse.julialang.org/t/find-the-asymptotes-of-a-function/51772 "2020-12-13T19:33:47Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![JuliaLearner](https://avatars.discourse-cdn.com/v4/letter/j/0ea827/32.png) [@JuliaLearner](https://discourse.julialang.org/u/JuliaLearner)\
**Post date:** [December 13, 2020, 7:33pm UTC](https://discourse.julialang.org/t/find-the-asymptotes-of-a-function/51772/1 "2020-12-13T19:33:47Z")

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How can we find the asymtotes of a function? Especially curvilinear asymtotes.

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**Author:** ![stevengj](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/stevengj/32/71_2.png) [@stevengj](https://discourse.julialang.org/u/stevengj)\
**Post date:** [December 13, 2020, 8:44pm UTC](https://discourse.julialang.org/t/find-the-asymptotes-of-a-function/51772/2 "2020-12-13T20:44:11Z")

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You can take limits with [Richardson extrapolation](https://github.com/JuliaMath/Richardson.jl), for example.

But if you want to find an asymptotic _form_ of a function, e.g. figure out that the function `f(x) = x + exp(x)`, asymptotes to e^x for large x, then you probably have to do some symbolic analysis. The [TaylorSeries package](https://github.com/JuliaDiff/TaylorSeries.jl) can help you find Taylor expansions around specific points.

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**Author:** ![JuliaLearner](https://avatars.discourse-cdn.com/v4/letter/j/0ea827/32.png) [@JuliaLearner](https://discourse.julialang.org/u/JuliaLearner)\
**Post date:** [December 13, 2020, 9:32pm UTC](https://discourse.julialang.org/t/find-the-asymptotes-of-a-function/51772/3 "2020-12-13T21:32:14Z")

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Thank you very much indeed.