pacew

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19 years, 210 days

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These are questions asked by pacew

I am using Maple 2015.2 on a Windows 10 machine.  I use the plot command to generate a simple graph.  I then use the Manipulator Pan tool to change the axes limits.  The system does not redraw the function with the new range limits.  The parameters in the Axis properties have been changed appropriately but the graph does not display for the new limits.  Even if I change the parameters without using Manipulator Pan tool, the system does not redraw the function with the new range limits.  Any guidance about what I am doing wrong?  I am attaching an example file in case the behavior continues on other systems.

20160711_example_of_graph_pan_issue.mw

Thanks,

Wayne

As a new user of Maple (Maple 2015), I defined the function:

f:=x->(1+1/x)^x

As x->infinity, f(x) increases monotonically to e, as is known.

In financial applications, this function and related functions are often used to show that periodic compounding converges to continuous compounding as the number of compounding periods grows larger.

However, for certain large values of x, f(x) evaluates to functional values larger than e.  For example:

f(x)|x=31536000. evaluates to 2.74327....

which is greater than e=2.71828...

Also notice that is(f(31536000.)>e) returns true.

This incorrect evaluation makes it difficult to demonstrate to students the principles of and relationship between periodic compounding and continuous compounding.

Some other CAS (Mathematica and HP Prime) evaluate the function correctly while TI Nspire also evaluates the function incorrectly.

The following file demonstrates this behavior of Maple 2015:

20160705_example_of_function_evaluation_issue.mw

Can anyone share any insight to this issue or any errors that I am making.

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