- #1
PCSL
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[tex]\int_{0}^{\frac{pi}{2}} \frac{cos(x)}{x^{1/2}} dx[/tex]
[tex]\int_{0}^{\frac{pi}{2}} \frac{cos(x)}{x^{1/2}} dx \le \int_{0}^{\frac{pi}{2}} \frac{1}{x^{1/2}} dx[/tex]
This would mean that the original equation was convergent. Was my reasoning correct in making the numerator 1 since the max value of cos(x) is 1?
Also, are there any hints you guys can give me for using the comparison theorem? Thanks.
[tex]\int_{0}^{\frac{pi}{2}} \frac{cos(x)}{x^{1/2}} dx \le \int_{0}^{\frac{pi}{2}} \frac{1}{x^{1/2}} dx[/tex]
This would mean that the original equation was convergent. Was my reasoning correct in making the numerator 1 since the max value of cos(x) is 1?
Also, are there any hints you guys can give me for using the comparison theorem? Thanks.