14. Let c E R and let ƒ : R → R be such that lim(f(x))² = L. a. Show that if L = 0, then lim f(x) = 0. T->C →C b. Show by example that if L 0, then ƒ may not have a limit at c.

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please help solve thest two part and be specific in the sanwer so i can understand please. Thank you very mucn!

 

14. Let c E R and let ƒ : R → R be such that lim(f(x))² = L.
a. Show that if L = 0, then lim f(x) = 0.
T->C
→C
b. Show by example that if L 0, then ƒ may not have a limit at c.
Transcribed Image Text:14. Let c E R and let ƒ : R → R be such that lim(f(x))² = L. a. Show that if L = 0, then lim f(x) = 0. T->C →C b. Show by example that if L 0, then ƒ may not have a limit at c.
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