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at t 0 the function f t sin frac t t has
Question:
At \( t = 0 \), the function \( f(t) = \sin \frac{t}{t} \) has
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When dealing with limits involving division by zero, check if the function approaches a finite value or if a discontinuity exists.
VITEEE - 2015
VITEEE
Updated On:
Jan 12, 2026
a minimum
a discontinuity
a point of inflection
a maximum
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The Correct Option is
B
Solution and Explanation
At \( t = 0 \), the function \( f(t) = \sin \frac{t}{t} \) does not have a well-defined value, indicating a discontinuity at that point.
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