Evaluate `lim_(xto0^(+)) (x)^((1)/(log_(e)sinx)).`

Explanation

To evaluate the limit \( \lim_{x \to 0^+} x^{\frac{1}{\log_e \sin x}} \), we will follow a systematic approach.

### Step-by-Step Solution:

1. **Define the Limit**:
Let \( y = \lim_{x \to 0^+} x^{\frac{1}{\log_e \sin x}} \).

2. **Take the Natural Logarithm**:
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