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# Find the limit of $\left(\frac{1-\cos\left(x\right)}{x}\right)^2$ as $x$ approaches 0

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indeterminate

##  Step-by-step Solution 

How should I solve this problem?

• Solve using direct substitution
• Solve using L'Hôpital's rule
• Solve without using l'Hôpital
• Solve using limit properties
• Solve the limit using factorization
• Solve the limit using rationalization
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
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1

Evaluate the limit $\lim_{x\to0}\left(\left(\frac{1-\cos\left(x\right)}{x}\right)^2\right)$ by replacing all occurrences of $x$ by $0$

$\left(\frac{1-\cos\left(0\right)}{0}\right)^2$

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$\left(\frac{1-\cos\left(0\right)}{0}\right)^2$

Learn how to solve problems step by step online. Find the limit of ((1-cos(x))/x)^2 as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\left(\frac{1-\cos\left(x\right)}{x}\right)^2\right) by replacing all occurrences of x by 0. The cosine of 0 equals 1. Subtract the values 1 and -1. \frac{0}{0} represents an indeterminate form.

indeterminate

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