CharlesL
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Homework Statement
Determine the limit of
lim \psi\rightarrow1 of \psi^(1/(\psi-1))
Homework Equations
The Attempt at a Solution
Let y = \psi^(1/(\psi-1))
ln y = ln \psi^(1/(\psi-1))
lim \psi\rightarrow1 ln y = lim \psi\rightarrow1 of (1/(\psi-1)) (ln \psi)
Differentiate
lim \psi\rightarrow1 ln y = -1/(\psi-1)2 x (1/\psi)
lim \psi\rightarrow1 ln y = 2/(\psi3+3\psi2+3\psi+1)
ln y =1/4
y = e1/4
Does e1/4 = e?