What is the limit as x approaches 2+of e^{sqrt(x-2)} ?

The limit as x approaches 2+of e^{sqrt(x-2)} is 1

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limit as x approaches 2+of e^{sqrt(x-2)}

x \to 2 + lim (e^{x - 2})

1

Solution steps

x \to 2 + lim (e^{x - 2})

Plug in the value

x = 2

= e^{2 - 2}

Simplify

= 1

x \to \infty lim (\frac{( - 2 ) x ^{3} + x ^{2} + 1}{( - 3 ) x ^{4} + 2 x ^{2} + 1})

x \to \infty lim (x e^{x} + 1)

x \to \infty lim (\frac{x + a + x + b}{x})

x \to 0 lim (ln (\frac{( 1 + x )}{x}))

x \to 9 lim (\frac{x - 72 + x}{9 - x})

What is the limit as x approaches 2+of e^{sqrt(x-2)} ?
The limit as x approaches 2+of e^{sqrt(x-2)} is 1