Which is larger,`(1.01)^(1000000) or 10000`?

Explanation

To determine which is larger between \( (1.01)^{1000000} \) and \( 10000 \), we can use the Binomial Theorem and some approximations. Here’s a step-by-step solution:

### Step 1: Set Up the Comparison
We need to compare \( (1.01)^{1000000} \) with \( 10000 \).

### Step 2: Rewrite \( 10000 \)
Notice that \( 10000 = 10^4 \). This gives us a clearer comparison.

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