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The function f(x) = e|x| is
  • a)
    continuous everywhere but not differentiable at x = 0
  • b)
    continuous and differentiable everywhere
  • c)
    not continuous at x = 0
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The function f(x) = e|x| isa)continuous everywhere but not differentia...
Given that,
f (x) = e|x|
The functions ex and |x| are continuous functions for all real value of x. Since ex is differentiable everywhere but |x| is non-differentiable at x = 0.
Thus, the given functions f(x) = e|x| is continuous everywhere but not differentiable at x = 0.
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The function f(x) = e|x| isa)continuous everywhere but not differentiable at x = 0b)continuous and differentiable everywherec)not continuous at x = 0d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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