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Exercise

$\lim_{x,y\to2,2}\left(\frac{1-\cos\left(x+y\right)}{xy}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{y\to2.2}\left(\frac{1-\cos\left(x+y\right)}{xy}\right)$ by replacing all occurrences of $y$ by $2.2$

$x,\frac{1-\cos\left(x+2.2\right)}{2.2x}$

Final answer to the exercise

$x,\frac{1-\cos\left(x+2.2\right)}{2.2x}$

Try other ways to solve this exercise

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  • Solve using L'Hôpital's rule
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  • 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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