Mathematics · Real Analysis
Let f(x) = e -x and g(x) = e -x 2 . Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x)g(x) is not uniformly continuous on ℝ
- 2g(x) is uniformly continuous on ℝ✓
- 3f(x) is not uniformly continuous on any interval of the form [a, +∞), a ∈ ℝ
- 4Both f(x) and g(x) are uniformly continuous on ℝ
Correct answer
g(x) is uniformly continuous on ℝ
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