Latest Posts

If [latex]\lim_{x\to 0}\frac{\alpha x(1+x+\frac{x^{2}}{2!}+\frac{x^{3}}{3!}+…)-\beta (x-\frac{x^{2}}{2}+\frac{x^{3}}{3}+…)+\gamma x^{2}(1-x+\frac{x^{2}}{2!}-\frac{x^{3}}{3!}+…)}{x^{3}}=10[/latex], find the value of α + β + γ

Solution: Answer: (3) \(\begin{array}{l}\lim_{x\to 0}\frac{\alpha x(1+x+\frac{x^{2}}{2!}+\frac{x^{3}}{3!}+…)-\beta (x-\frac{x^{2}}{2}+\frac{x^{3}}{3}+…)+\gamma x^{2}(1-x+\frac{x^{2}}{2!}-\frac{x^{3}}{3!}+…)}{x^{3}}=10\end{array} \) ⇒ α – β = 0 ⇒ α = β ⇒... View Article