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Miscellaneous·2014·Easy

Consider the function f(x) = { (tan kx)/x , x < 0 3x + 2k² , x ≥ 0 What is the non-zero value of k for which the function is continuous at x = 0 ?

Consider the function
f(x) = { (tan kx)/x , x < 0
3x + 2k² , x ≥ 0

What is the non-zero value of k for which the function is continuous at x = 0 ?

Options

  1. a.

    1/4

  2. b.

    1/2

    Correct answer
  3. c.

    1

  4. d.

    2

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