Multiple choice

For |x| << 1, coth (x) can be approximated as

  1. x

  2. x2
  3. $\frac{1}{x}$
  4. $\frac{1}{x^2}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$cothx = \frac{cosh x}{sinh x} \\ \text{as} |x| < < 1, coshx \approx 1 \hspace{0.2cm} and \hspace{0.2cm} sinh x \approx x \\ \text{Thus} \hspace{0.2cm} coth x \approx \frac{1}{x}$

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