Impara online a risolvere i problemi di passo dopo passo. (x)->(1)lim((1+3log(x))^(1/sin(1-x))). Applicare la formula: \log_{a}\left(x\right)=\frac{\ln\left(x\right)}{\ln\left(a\right)}, dove a=10. Applicare la formula: \lim_{x\to c}\left(a^b\right)=\lim_{x\to c}\left(e^{b\ln\left(a\right)}\right), dove a=1+\frac{3\ln\left(x\right)}{\ln\left(10\right)}, b=\frac{1}{\sin\left(1-x\right)} e c=1. Applicare la formula: a\frac{b}{c}=\frac{ba}{c}, dove a=\ln\left(1+\frac{3\ln\left(x\right)}{\ln\left(10\right)}\right), b=1 e c=\sin\left(1-x\right). Applicare la formula: \lim_{x\to c}\left(a^b\right)={\left(\lim_{x\to c}\left(a\right)\right)}^{\lim_{x\to c}\left(b\right)}, dove a=e, b=\frac{\ln\left(1+\frac{3\ln\left(x\right)}{\ln\left(10\right)}\right)}{\sin\left(1-x\right)} e c=1.

(x)->(1)lim((1+3log(x))^(1/sin(1-x)))