Final answer to the problem
$c-f$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- 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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1
Applying rationalisation
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$\lim_{x\to{- \infty }}\left(\left(\sec\left(\sqrt{x^2+1}\right)-x\right)\frac{\sec\left(\sqrt{x^2+1}\right)+x}{\sec\left(\sqrt{x^2+1}\right)+x}\right)$
Learn how to solve problems step by step online. Find the limit of sec((x^2+1)^(1/2))-x as x approaches -infinity. Applying rationalisation. Multiply and simplify the expression within the limit. The difference of the squares of two terms, divided by the sum of the same terms, is equal to the difference of the terms. In other words: \displaystyle\frac{a^2-b^2}{a+b}=a-b.. The limit of a constant is just the constant.
Final answer to the problem
$c-f$
