Limit Command from TI-Nspire CAS Calculus Submenu

You use the Limit command on the TI-Nspire CAS Calculus submenu to evaluate the limits of an expression. Press [MENU]→Calculus→Limit to invoke the Limit command. A template containing four fields is pasted to the entry line.

Type the variable in the leftmost field. Type the approaching value of the variable in the next field. Type [+] or [–] in the next field if you want to evaluate a one-sided limit. Leave this field blank if you want to evaluate the limit from both sides. Type the expression in the rightmost field.


Review the first screen:

  • In the first line, evaluate the limit of x2 – 3x + 1 as x approaches 2.

  • In the second line, the definition of the derivative is used to find the derivative of the tangent function.

  • The third line evaluates a limit at infinity. Notice that TI-Nspire CAS does a great job of displaying the exact answer of this result. Access the symbol for the infinity character. You can also access the infinity symbol by pressing


    and choosing the infinity symbol.

Here are two comments about the second screen:

  • The first two lines show how to evaluate a left- and right-sided limit, respectively.

  • The last line shows that the general limit of this absolute value expression is not defined.

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