PrepRung
Sign inSign up free

NDA 2018 Maths · Mathematics · Derivatives · easy

Lim x→0(tan 5x)/(sin 2x) equals

Single correct option

lim⁡x→0tan⁡5xsin⁡2x\lim_{x\to0}\frac{\tan5x}{\sin2x} equals
  1. A. 25\frac25
  2. B. 1010
  3. C. 52\frac52
  4. D. 11
Show answer and solution

Answer: (C) 52\frac52

Write tan⁡5xsin⁡2x=tan⁡5x5x⋅2xsin⁡2x⋅5x2x→1⋅1⋅52\frac{\tan5x}{\sin2x}=\frac{\tan5x}{5x}\cdot\frac{2x}{\sin2x}\cdot\frac{5x}{2x}\to1\cdot1\cdot\frac52. The option 25\frac25 inverts the ratio, and 10 multiplies instead of dividing the constants.
Report a mistake

Original question written in the NDA 2018 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake