What is the limit as x approaches 0 for (sin(x^2))/x?

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SUMMARY

The limit as x approaches 0 for the expression (sin(x^2))/x is 0. This conclusion is reached by recognizing that as x approaches 0, sin(x^2) approaches x^2, leading to the simplification of the limit to (x^2)/x, which ultimately evaluates to 0. The critical step involves understanding the behavior of sin(x^2) as x approaches 0 and applying limit properties effectively.

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What is the limit as x approaches 0 for (sin(x^2))/x? I think its 0 but I am not sure
 
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sin(x2)/x2 -> 1. Multiply by x to get your expression which -> 0.
 

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