alleryThe famous standard limit lim_{x→0} (sin x)/x (with x in radians) equals:
A$1$ (foundational standard limit)
B$0$ (assuming numerator dominates)
C$x$ (the simplification, incorrect)
DDoes not exist (the limit fails)
Answer & Solution
Correct answer: A. $1$ (foundational standard limit)
lim_{x→0} (sin x)/x = 1 (x in radians).
Even though sin(0)/0 = 0/0 (indeterminate).
Proved via squeeze theorem or geometric argument.
Foundational for many sin/cos/tan limits.
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