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Exercise

$\lim_{u\to\frac{\pi}{4}}\left(sec^2u+csc^2u\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{u\to{\frac{\pi }{4}}}\left(\sec\left(u\right)^2+\csc\left(u\right)^2\right)$ by replacing all occurrences of $u$ by $\frac{\pi }{4}$

$\sec\left(\frac{\pi }{4}\right)^2+\csc\left(\frac{\pi }{4}\right)^2$

Final answer to the exercise

$\sec\left(\frac{\pi }{4}\right)^2+\csc\left(\frac{\pi }{4}\right)^2$

Try other ways to solve this exercise

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  • Solve using limit properties
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  • 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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