Question

ayuda


$\lim_{x \to \ 0} \int\limits^x_ 0{ cos(u^{2}). \, dv$
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Answer 1

$\lim_{u \to \00} \int\limits^x_0 {cos(u ^{2)} } \, dv$.$\frac{1}{x}$

por L'hospital

$\lim_{u \to \00}( \int\limits^x_0 {cos(u ^{2)} } \, dv)' \frac{1}{x'} ) \\ \\ \\ recordar: \\ \\ \frac{d x_{} }{d y_{} } \int\limits g(x) dx = g(x) \\ \\ \lim_{n \to \00}( \int\limits^x_0 {cos(u ^{2)} } \, dv)' \frac{1}{x'}= \lim_{u \to \00} cos ^{2}u \\ \\ cos ^{2} 0 = 1 \\ \\ saludos- isabela. \\ \\ FELICES- FIESTAS$