GATE CE 2017 Set 1 — Question 21

NAT+1 / -0EasyLimits & ContinuityCalculusEngineering Mathematics

Engineering Mathematics → Calculus → Limits & Continuity

Last updated 5 September 2026

Question

\lim_{x \to 0} \left( \frac{\tan x}{x^2 - x} \right)

\lim_{x \to 0} \frac{\tan x}{x(x - 1)} = \lim_{x \to 0} \left( \frac{\tan x}{x} \right) \cdot \lim_{x \to 0} \left( \frac{1}{x - 1} \right)

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\lim_{x \to 0} \frac{\tan x}{x(x - 1)} = \lim_{x \to 0} \left( \frac{\tan x}{x} \right) \cdot \lim_{x \to 0} \left( \frac{1}{x - 1} \right)

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