MAI391_-_Pactice_-_Questions_191.webp

Seek the Taylor polynomial T₂ of f(x)=\sqrt{x+2} at x=2
(i) 2+\frac{1}{4}(x-2)-\frac{1}{32}(x-2)^{2}
(ii) 2-\frac{1}{4}(x-2)+\frac{1}{32}(x-2)^{2}
(iii) 2+\frac{1}{4}(x-2)-\frac{1}{64}(x-2)^{2}
(iv) 2-\frac{1}{4}(x-2)+\frac{1}{64}(x-2)^{2}