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2. Is it possible that x→alimf(x) does not exist, and x→alimg(x) does not exist, but x→dlim[f(x)+g(x)] does exist? Co
Posted: Thu Jul 14, 2022 4:08 pm
by answerhappygod
- 2 Is It Possible That X Alim F X Does Not Exist And X Alim G X Does Not Exist But X Dlim F X G X Does Exist Co 1 (12.78 KiB) Viewed 41 times
2. Is it possible that x→alimf(x) does not exist, and x→alimg(x) does not exist, but x→dlim[f(x)+g(x)] does exist? Consider the functions f(x)=x1 and g(x)=−x1. (a) Sketch the graphs (separately) of f(x) and g(x) and find their respective limits as x approaches zero. (b) Sketch the graph of [f(x)+g(x)] and find x→0lim[f(x)+g(x)].