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Q.
Which among the following is true?
Binomial Theorem
Solution:
Splitting $1.01$ and using binomial theorem to write the first few terms, we have $(1.01)^{1000000}=(1+0.01)^{1000000}$ $={ }^{1000000} C_0+{ }^{1000000} C_1(0.01)+$ Other positive terms
$=1+1000000 \times 0.01+$ Other positive terms
$=1+10000+$ Other positive terms $>10000$
Hence, $(1.01)^{1000000}>10000$.