Determines the left and right limits of a 1D function at a given point. Details
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point is the point at which the limits have to be calculated. The default is 0.0. |
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delta is the distance to the left and right neighbor of point. The default is 1E - 10. |
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formula is a string describing the function under investigation. You can use any valid symbol as the variable name. Refer to Formula VI Variables for valid symbols. |
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left limit is the left limit of the given function at point. The accuracy is up to 8 decimal digits. |
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right limit is the right limit of the given function at point. The accuracy is up to 8 decimal digits. |
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ticks is the time in milliseconds to analyze the formula and to produce limits. Usually, the time is negligible for the limit operations. |
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error indicates the accuracy of formula, which is verified by the Function VIs. |
The algorithm calculates only the two values f(point delta) and f(point + delta). Furthermore, delta is internally rounded to a power of 2.
![]() | Note A very small delta value can result in numerical inaccuracies. You should take a value of delta=1E10 in all cases. |
The function
f(x) = (1 + 1/x)^x
has the famous limit e (Euler) if x tends to infinity. You can use the Limit VI to determine the Euler number if you define
g(x) = (1 + x)^(1/x)
for small positive x. By entering
(1+x)^(1/x)
in the formula control on the front panel, you can find the limit. The following diagram shows the convergence of f(x) to e.