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Exercise

$\lim_{x\to0}\left(\arcsec\:\left(a\csch\:\left(x\right)\right)\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to0}\left(\mathrm{arcsec}\left(\mathrm{arccsc}\left(x\right)\right)\right)$ by replacing all occurrences of $x$ by $0$

$\mathrm{arcsec}\left(\mathrm{arccsc}\left(0\right)\right)$

Final answer to the exercise

$\mathrm{arcsec}\left(\mathrm{arccsc}\left(0\right)\right)$

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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