Let f(x) = x²e¹- on R. (a) Prove that (i) lim f(x) = 0 (ii) lim f(x) = +∞ x → +∞ x118 (b) Determine the parts of R on which f increases. (c) Give the local minimum and local maximum of f.

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Let f(x) = x²e¹-* on R.
е
(a) Prove that
(i) lim f(x) = 0 (ii) lim f(x) =
=
x → +∞
X118
+00
(b) Determine the parts of R on which f increases.
(c) Give the local minimum and local maximum of f.
Transcribed Image Text:Let f(x) = x²e¹-* on R. е (a) Prove that (i) lim f(x) = 0 (ii) lim f(x) = = x → +∞ X118 +00 (b) Determine the parts of R on which f increases. (c) Give the local minimum and local maximum of f.
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