Question

алгебра ...
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Answer 1

$1) limlimits_{n to +infty} frac{1}{4^n} = limlimits_{n to +infty} (frac{1}{4})^n = 0\\ 2) limlimits_{n to +infty} (0,2)^n =0\\ 3) limlimits_{n to +infty} (1 + frac{1}{7^n}) = limlimits_{n to +infty} 1 + limlimits_{n to +infty} (frac{1}{7})^n = 1 + 0 = 1\\ 4) limlimits_{n to +infty} ((frac{3}{5})^n - 2) = limlimits_{n to +infty} (frac{3}{5})^n - limlimits_{n to +infty} 2 = 0 - 2 = -2$

$limlimits_{n to +infty} q^n = 0, |q| <1$