lim x->0 (sinx/x) =
To find the limit of the expression (sinx/x) as x approaches 0, we can use the concept of a trigonometric limit
To find the limit of the expression (sinx/x) as x approaches 0, we can use the concept of a trigonometric limit.
As x approaches 0, the expression (sinx/x) is in an indeterminate form (0/0). In such cases, we can use a trigonometric identity to simplify the expression.
The trigonometric identity that can help us is as follows:
lim x->0 (sinx/x) = lim x->0 (sinx)/(x)
= lim x->0 (sinx)/(x) * (1/sinx)
= lim x->0 (1/x)
= 1/lim x->0 (x)
= 1
Therefore, the limit of (sinx/x) as x approaches 0 is 1.
More Answers:
Understanding the Behavior of the Function (1/x) as x Approaches 0 from the Positive SideEvaluating the Left-Side Limit of f(x) = 1/x as x Approaches 0 | Understanding the Behavior of the Function
Finding the Limit of f(x) = 1/x^2 as x Approaches 0 | Analysis and Explanation
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded