Final answer to the problem
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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Multiply the single term $x^2$ by each term of the polynomial $\left(e^{\frac{1}{x^2}}-1\right)$
Learn how to solve limits by rationalizing problems step by step online.
$\lim_{x\to0}\left(e^{\frac{1}{x^2}}x^2-x^2\right)$
Learn how to solve limits by rationalizing problems step by step online. Find the limit of x^2(e^(1/(x^2))-1) as x approaches 0. Multiply the single term x^2 by each term of the polynomial \left(e^{\frac{1}{x^2}}-1\right). Applying rationalisation. Multiply and simplify the expression within the limit. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2.