Question #85535

I'm trying to evaluate the limit :::::
Limit[(sqrt[t^2 + 9] - 3)/(t^2), t -> 0]

When i click "evaluate cell" Mathematica outputs :::::

\!\(\*UnderscriptBox[\(\[Limit]\), \(t \[Rule] 0\)]\) (-3 +
sqrt[9 + t^2])/t^2

which is the same thing as what I typed in only in a slightly different order (essentially the same thing i typed in) what am i doing wrong ?
1

Expert's answer

2019-02-27T14:35:08-0500

Answer on Question #85535 - Programming & Computer Science / MatLAB | Mathematica | MathCAD | Maple

Question: I'm trying to evaluate the limit :::

Limit[(sqrt[t^2 + 9] - 3)/(t^2), t -> 0]

When i click "evaluate cell" Mathematica outputs :::

\!\(\UnderscriptBox[\(\[Limit]\),\(t\[Rule]0\)]\)\backslash !\backslash (\backslash^{*}\text{UnderscriptBox}[\backslash (\backslash [\text{Limit}]\backslash),\backslash (t\backslash [\text{Rule}]0\backslash)]\backslash) (-3 +

sqrt[9 + t^2])/t^2

which is the same thing as what I typed in only in a slightly different order (essentially the same thing i typed in) what am i doing wrong?

Answer:

One should take into account that all built-in mathematical functions in Wolfram Mathematica start with a capital letter. Thus, changing "sqrt" to "Sqrt" completely solves the problem (see the screenshot below).



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