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Exercise

$\frac{\sqrt{0.000001}}{\sin^2\left(0.000001\right)}$

Step-by-step Solution

1

Since $\sin$ is the reciprocal of $\csc$, $\frac{\sqrt{1\times 10^{-6}}}{{\left(\sin\left(1\times 10^{-6}\right)\right)}^2}$ is equivalent to $\sqrt{1\times 10^{-6}}\cdot {\left(\csc\left(1\times 10^{-6}\right)\right)}^2$

$\sqrt{1\times 10^{-6}}\cdot {\left(\csc\left(1\times 10^{-6}\right)\right)}^2$

Final answer to the exercise

$\sqrt{1\times 10^{-6}}\cdot {\left(\csc\left(1\times 10^{-6}\right)\right)}^2$

Try other ways to solve this exercise

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  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
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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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