Plotting rational and trigonometric limits in Maple 13

[sp09ta]

1. I have 2 problems in which I'm asked to plot a function using maple(sorry i don't know latex yet):

a. f(x)=[x^3-1]/[sqrt(x)-1] - find the lim x->1
Here i receive an empty graph for some reason... :(

b. f(x)=[tan(3x)]/[tan(5x)] - find the lim x->0
When i attempt to plot this graph, i receive the message: "Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct" no matter how much i tweak the domain of the plot.

Why can't I plot these functions??





2. Maple commands used (f=function, a=lowest x value, b=highest x value)

plot(f,x=a..b);



3.

a. I've used a table of values to estimate that lim x->1 is equal to 6


b. I've used a table of values to estimate that lim x->0 is equal to 3/5

 

[mathie.girl]

For (a) I entered the command:

plot((x^3-1)/(sqrt(x)-1), x = 0 .. 10)

into Maple (version 11) and it plotted okay. Are you inputting "f" or the actual function? Did you define f with "f:="? When I entered either function into Maple with the square brackets it didn't work. It did work fine without them though. By a brief look at the help files, "plot" with square brackets is for parametric equations, so probably not what you're looking for.

 

[sp09ta]

Oh. Maybe it's because I was using Maple v.13. I'll retry on v.11.

 

[mathie.girl]

Oh. Maybe it's because I was using Maple v.13. I'll retry on v.11.

I haven't used Maple 13, but it seems very unlikely to me that it can't plot. So you should be able to plot a graph in it, even if the language isn't the same as in v11. Did you try it in v13 with round brackets () instead of square []?

 

[sp09ta]

K its working perfectly now that I used the round parenthesis instead of square! Thx mathie, won't make that mistake again!

 

[mathie.girl]

Great! Good luck with the rest of your work.

 

[n!kofeyn]

If you don't have to use Maple (like for homework or something), then I would suggest using Wolfram Alpha. For example, your first function's graph would be inputted something like http://www.wolframalpha.com/input/?i=plot+(x^3-1)/(sqrt(x)-1)+from+0+to+3". Being online, it's always available and can interrupt what you type, so you don't have to be as strict with syntax.