What is the limit as x approaches 0 of (1+3/(x^2))^x ?

The limit as x approaches 0 of (1+3/(x^2))^x is 1

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limit as x approaches 0 of (1+3/(x^2))^x

x \to 0 lim ((1 + \frac{3}{x ^{2}})^{x})

1

Solution steps

x \to 0 lim ((1 + \frac{3}{x ^{2}})^{x})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim ((1 + \frac{3}{x ^{2}})^{x}) = 1

x \to 0 + lim ((1 + \frac{3}{x ^{2}})^{x}) = 1

= 1

y^{^{''}} + b^{2} y = 0

y^{^{'}} = \frac{( e ^{x - y} )}{1 + e ^{x}}

\int \frac{24}{x ^{2}} d x

(\frac{x - 1}{x})^{^{'}}

\frac{d}{d x} (2 x cos (x) - x^{2} sin (x))

What is the limit as x approaches 0 of (1+3/(x^2))^x ?
The limit as x approaches 0 of (1+3/(x^2))^x is 1