Impara online a risolvere i problemi di passo dopo passo. (x)->(0)lim((1+cos(5x))^cot(7x)). 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+\cos\left(5x\right), b=\cot\left(7x\right) e c=0. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Applicare la formula: a\frac{b}{c}=\frac{ba}{c}, dove a=\ln\left(1+\cos\left(5x\right)\right), b=\cos\left(7x\right) e c=\sin\left(7x\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{\cos\left(7x\right)\ln\left(1+\cos\left(5x\right)\right)}{\sin\left(7x\right)} e c=0.

(x)->(0)lim((1+cos(5x))^cot(7x))