What is the limit as x approaches 1+of x^{6/((x-1))} ?

The limit as x approaches 1+of x^{6/((x-1))} is e^6

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limit as x approaches 1+of x^{6/((x-1))}

x \to 1 + lim (x^{\frac{6}{( x - 1 )}})

e^{6}

Decimal

403.42879 \dots

Solution steps

x \to 1 + lim (x^{\frac{6}{x - 1}})

Apply exponent rules

= x \to 1 + lim (e^{\frac{6}{x - 1} l n (x)})

Apply the Limit Chain Rule:

e^{6}

= e^{6}

x \to 0 + lim (\frac{x}{sin ( 8 x )})

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x \to 0 lim (\frac{sin ^{1} ( x )}{x})

x \to 1 lim (∣ x - 3 ∣)

x \to 2 lim ((x^{2} - 1)^{3})

What is the limit as x approaches 1+of x^{6/((x-1))} ?
The limit as x approaches 1+of x^{6/((x-1))} is e^6