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Solving: $\lim_{b\to{\tan\left(b\right)}}\left(\frac{b-b^2}{1+b^2}\right)$
Solve instead: $\lim_{b\to\tan\left(x\right)}\left(\frac{b-b^2}{1+b^2}\right)$

Exercise

$\lim_{b\to\tan\left(x\right)}\left(\frac{b-b^2}{1+b^2}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{b\to{\tan\left(b\right)}}\left(\frac{b-b^2}{1+b^2}\right)$ by replacing all occurrences of $b$ by $\tan\left(b\right)$

$\frac{\tan\left(b\right)-\tan\left(b\right)^2}{1+\tan\left(b\right)^2}$

Final answer to the exercise

$\frac{\tan\left(b\right)-\tan\left(b\right)^2}{1+\tan\left(b\right)^2}$

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
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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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