HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 204
To find a left limit, for example, type
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hp40g+.book Page 22 Friday, December 9, 2005 1:03 AM 14-22 QUOTE(expression), to avoid rewriting the expression in normal form (i.e., not to have a rational simplification of the arguments) during the execution of the LIMIT command. Example Typing: lim(QUOTE((2X - 1) ⋅ EXP⎝⎛ X-----1------1--⎠⎞ ⎞ ⎠ ,X = + ∞) gives: +∞ To find a right limit, for example, type: lim ⎛ ⎝ -----1-------, X-1 QUOTE(1 + 0)⎠⎞ gives (if X is the current variable): +∞ To find a left limit, for example, type: lim ⎛ ⎝ -----1-------, X-1 QUOTE(1 - 0 )⎠⎞ gives (if X is the current variable): -∞ It is not necessary to quote the second argument when it is written with =, for example: l im⎝⎛ -----1-------, X-1 (X = 1 + 0 )⎠⎞ gives: +∞ Example For n > 2 in the following expression, find the limit as x approaches 0: -ns--i--⋅n---t-(-a-n--n---⋅(---xx nt--a--⋅n----s(--i-n-n---⋅(---xx---))- You can use the LIMIT command to do this. Computer Algebra System (CAS)