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Write the value of lim(x->0^-)(sinx)/(sq...

Write the value of `lim_(x->0^-)(sinx)/(sqrt(x))`

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To solve the limit \( \lim_{x \to 0^-} \frac{\sin x}{\sqrt{x}} \), we will analyze the expression step by step. ### Step 1: Understanding the Limit We need to evaluate the limit as \( x \) approaches \( 0 \) from the left side (denoted by \( 0^- \)). This means we are considering values of \( x \) that are slightly less than \( 0 \). ### Step 2: Analyze the Components 1. **Sine Function**: The sine function, \( \sin x \), is defined for all real numbers. As \( x \) approaches \( 0 \), \( \sin x \) approaches \( 0 \). 2. **Square Root Function**: The expression \( \sqrt{x} \) is only defined for non-negative values of \( x \). As \( x \) approaches \( 0 \) from the left (negative side), \( x \) is negative, and thus \( \sqrt{x} \) is not defined. ...
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