Cigi

Potencije s bazom 10
$$ \begin{flalign} &(a) \quad \text{Izračunaj: } \int_{0}^{1} \frac{x^3 - 1}{\ln x} \, \mathrm{d}x && \\ &(b) \quad \text{Riješi jednadžbu: } \sqrt{3x-1}+\sqrt[3]{2x-5}=3 \\ &(c) \quad \text{Neka je } f(x)=\frac{2x^3-3x^2-12x+5}{x^2+2x+1}. \\ &\text{Odredi asimptote grafa funkcije } f(x). \\ &(d) \quad \text{Izračunaj: } \lim_{x\to\infty} \left(\frac{3x-1}{3x+2}\right)^{2x+1} \\ &(e) \quad \text{Izračunaj: } \sum_{k=1}^{n} \left(\frac{1}{k}-\frac{1}{k+2}\right) \\ &(f) \quad \text{Neka je } f(x)=\ln\left(\frac{2x-1}{x+2}\right). \\ &\text{Odredi skup definicije funkcije } f(x). \\ &(g) \quad \text{Riješi nejednadžbu: } \log_3(x-1) + \log_3(x-2) \leq 1 \\ &(h) \quad \text{Izračunaj: } \binom{10}{4} \\ &(i) \quad \text{Izračunaj: } \int \frac{\cos^2 x}{1+\sin x} \, \mathrm{d}x \\ &(j) \quad \text{Izračunaj: } \lim_{x\to 0} \frac{\sin^2 x}{x^2} && \\ \end{flalign} $$
An error has occurred. This application may no longer respond until reloaded. Reload 🗙