What is the limit as x approaches 3-of e^{x/(3-x)} ?

The limit as x approaches 3-of e^{x/(3-x)} is infinity

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limit as x approaches 3-of e^{x/(3-x)}

x \to 3 - lim (e^{\frac{x}{3 - x}})

\infty

Solution steps

x \to 3 - lim (e^{\frac{x}{3 - x}})

Apply the Limit Chain Rule:

\infty

= \infty

x \to - 0.01 lim (\frac{e ^{x} - 1}{x})

\frac{d ^{2} y}{d x ^{2}} + y = 0

y = x arcsin (x) + 1 - x^{2}

\frac{d y}{d x} = y + e^{x} y^{2}

t e^{6 t} sin (3 t)

What is the limit as x approaches 3-of e^{x/(3-x)} ?
The limit as x approaches 3-of e^{x/(3-x)} is infinity