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Exercise

$\lim_{x,y,z\to3,3,0}\:\sin^2x+cos^2y+sec^2z$

Step-by-step Solution

1

Evaluate the limit $\lim_{z\to{3.3,0}}\left(\sin\left(x\right)^2+\cos\left(y\right)^2+\sec\left(z\right)^2\right)$ by replacing all occurrences of $z$ by $3.3,0$

$x,y,\sin\left(x\right)^2+\cos\left(y\right)^2+\sec\left(3.3,0\right)^2$

Final answer to the exercise

$x,y,\sin\left(x\right)^2+\cos\left(y\right)^2+\sec\left(3.3,0\right)^2$

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
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Main Topic: Limits

In mathematics, a limit is the value that a function or sequence "approaches" as the input or index approaches some value.

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