Matemáticas II·Castilla-La Mancha·2019·OrdinariaEjercicio1Opción B2,5 puntosCalcula razonadamente los siguientes límites:a)1,25 ptslimx→1(2ex−1x+1)xx−1\lim_{x \to 1} \left( \frac{2e^{x-1}}{x+1} \right)^{\frac{x}{x-1}}limx→1(x+12ex−1)x−1xb)1,25 ptslimx→−1−ex2−1−xx2+4x+3\lim_{x \to -1} \frac{-e^{x^2-1}-x}{x^2+4x+3}limx→−1x2+4x+3−ex2−1−x
a)1,25 ptslimx→1(2ex−1x+1)xx−1\lim_{x \to 1} \left( \frac{2e^{x-1}}{x+1} \right)^{\frac{x}{x-1}}limx→1(x+12ex−1)x−1x
b)1,25 ptslimx→−1−ex2−1−xx2+4x+3\lim_{x \to -1} \frac{-e^{x^2-1}-x}{x^2+4x+3}limx→−1x2+4x+3−ex2−1−x
