Question

Any genius answer me please, I have exam .

Answer 1

1st solution refers to the attachment

$\mathop \red{3rd \: solution}$

$\lim \: \: \: \: \: \: \: \: \: \: ( 1 - { \frac{4}{n}) }^{n} \\ {n \to \infty}$

We know that :-

$\lim \: \: \: \: \: (1 + { \frac{1}{x} )}^{x} = e \\ {x \to \ \infty }$

Using this :-

$\lim{x \to \infty } \: = {e}^{ \frac{ - 4}{x} \times x }$

Answer = e-⁴

$\boxed {solution \: of \: remaining \: questions \: is \: similar \: to \: 3rd}$

$\boxed{hint} \: in \: 5th \: write \: \frac{x + 1}{x} as \: 1+ \frac{1}{x}$