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Calculus Examples
limx→∞sin(1x)
Step 1
Move the limit inside the trig function because sine is continuous.
sin(limx→∞1x)
Step 2
Since its numerator approaches a real number while its denominator is unbounded, the fraction 1x approaches 0.
sin(0)
Step 3
The exact value of sin(0) is 0.
0