(35S) Limit of a function: LIM x→c+ and LIM x→c

02202022, 01:48 PM
(This post was last modified: 03292022 01:42 PM by Roberto Volpi.)
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(35S) Limit of a function: LIM x→c+ and LIM x→c
This short program computes the limit for x approaching to a value, from both the right and the left, of a function previously stored in the Label F with x as unknown.
LINE INSTRUCTION 001 LBL L 002 1 E 9 003 F1? 004 +/ 005 STO +x 006 XEQ F 007 F0? 008 RTN 009 2 E 9 010 STO x 011 R down 012 XEQ F 013 x<>y 014 RTN INSTRUCTIONS: Select Mode RAD in case of trig function; Input a function with "x" as unknown, EQN or RPN format alike, in LBL F, followed by RTN; press XEQ L; input x value; press R/S. in a few seconds, you will have the results as follows: STACK y: Limit from the left STACK x: Limit from the right In case it is used as subroutine for longer programs, or you need to use the "FN=" instruction, set flag 0 if you need just the limit from the right, or set flag 1 if you need just the limit from the left. In case the result is approaching to +∞ or ∞, the result may be represented by a high number, millions or mantissa+exponent. It could not work for very nasty functions, as the infamous "Lim x→0 of [1/sin^2(x)  1/x^2]" specifically elaborated by the late Prof. James Stewart in "Lies my Calculator and Computer Told me", but it does a great job most of the times. Enjoy! Put a calculator into your life! 

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