Chapter 5: Q.2TB (page 477)
Evaluate the limit \(\lim_{x\rightarrow \infty}x^{-\frac{4}{3}}\).
Short Answer
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Chapter 5: Q.2TB (page 477)
Evaluate the limit \(\lim_{x\rightarrow \infty}x^{-\frac{4}{3}}\).
\(0\)
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Get started for freeSolve each of the integrals in Exercises 39โ74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
Solve the integral
Why donโt we ever have cause to use the trigonometric substitution ?
Consider the integral from the reading at the beginning of the section.
(a) Use the inverse trigonometric substitution to solve this integral.
(b) Use the trigonometric substitution to solve the integral.
(c) Compare and contrast the two methods used in parts (a) and (b).
Complete the square for each quadratic in Exercises 28โ33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
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