What is the limit as x approaches 1 of (1-5/x)^x ?

The limit as x approaches 1 of (1-5/x)^x is -4

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limit as x approaches 1 of (1-5/x)^x

x \to 1 lim ((1 - \frac{5}{x})^{x})

- 4

Solution steps

x \to 1 lim ((1 - \frac{5}{x})^{x})

Plug in the value

x = 1

= (1 - \frac{5}{1})^{1}

Simplify

= - 4

(8 x + 5) (x^{2} - 3 x)

{(cos (3 t) - 9)^{2}}

y^{^{'}} + \frac{1}{20} y = 0

x \to 1 lim (- x^{4} - 4 x^{2})

f (y) = sin^{2} (y)

What is the limit as x approaches 1 of (1-5/x)^x ?
The limit as x approaches 1 of (1-5/x)^x is -4