limit as x approaches 0: sinx/x
To find the limit of sin(x)/x as x approaches 0, we can’t directly substitute 0 into the function because it would result in division by zero
To find the limit of sin(x)/x as x approaches 0, we can’t directly substitute 0 into the function because it would result in division by zero. However, we can use a well-known trigonometric identity to simplify the expression and evaluate the limit.
The identity in question is:
lim(θ→0) (sin θ / θ) = 1
Therefore, we can rewrite the given expression as:
lim(x→0) (sin x / x) = 1
This means that as x approaches 0, the limit of sin(x)/x is equal to 1.
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