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Jac8897
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Homework Statement
e^(1/n+1)/e^(1/n)
Homework Equations
this is for a series test "ratio test" I need to simplify it I went blank in this part
thanks
The equation for simplifying e^(1/n+1)/e^(1/n) is e^(1/n+1)/e^(1/n) = e^(1/n+1-n) = e^(1/n). This is because when dividing exponential expressions with the same base, the exponents can be subtracted.
No, e^(1/n+1)/e^(1/n) is already in its simplest form.
e^(1/n+1)/e^(1/n) can be rewritten as e^(1/(n+1))/e^(1/n). This is because the exponent rule for adding fractions in the exponent states that e^(a/b+c/b) = e^(a+c)/b.
The value of e^(1/n+1)/e^(1/n) when n = 0 is undefined. This is because dividing by zero is undefined in mathematics.
Yes, e^(1/n+1)/e^(1/n) can be simplified using logarithms. Using the logarithm rule log(a/b) = log(a) - log(b), we can rewrite e^(1/n+1)/e^(1/n) as e^(1/n+1) * e^(-1/n) = e^(1/n+1 - 1/n) = e^(1/n). This is the same result as simplifying using the exponent rule.