Final answer to the problem
$c-f$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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1
Multiply the single term $x^{-1}$ by each term of the polynomial $\left(\left(x+1\right)^{\frac{1}{x}}-e\right)$
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$\lim_{x\to0}\left(\left(x+1\right)^{\frac{1}{x}}x^{-1}-ex^{-1}\right)$
Learn how to solve problems step by step online. Find the limit of ((x+1)^(1/x)-e)x^(-1) as x approaches 0. Multiply the single term x^{-1} by each term of the polynomial \left(\left(x+1\right)^{\frac{1}{x}}-e\right). Applying rationalisation. Multiply and simplify the expression within the limit. The power of a product is equal to the product of it's factors raised to the same power.
Final answer to the problem
$c-f$
