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If the function f(x)=(sin10 x)/x , x!=0 ...

If the function `f(x)=(sin10 x)/x` , `x!=0` is continuous at `x=0` , find `f(0)` .

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To determine the value of \( f(0) \) for the function \( f(x) = \frac{\sin(10x)}{x} \) when \( x \neq 0 \) and ensure that it is continuous at \( x = 0 \), we need to find the limit of \( f(x) \) as \( x \) approaches 0. ### Step-by-Step Solution: 1. **Identify the Function**: We have the function defined as: \[ f(x) = \frac{\sin(10x)}{x} \quad \text{for } x \neq 0 ...
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