Taylor Series, Laurent Series MCQ Quiz in বাংলা - Objective Question with Answer for Taylor Series, Laurent Series - বিনামূল্যে ডাউনলোড করুন [PDF]

ধারণা:

(1 + z)-1 = \(\sum_{n=0}^{\infty}(-1)^nz^n\)

ব্যাখ্যা:

f(z) = \(\frac{z-1}{z+1}\)

f(z) = 1 - \(\frac{2}{z+1}\)

f(z) = 1 - 2(1 + z)-1

f(z) = 1 - 2\(\sum_{n=0}^{\infty}(-1)^nz^n\)

(3) সঠিক।

ধারণা:

(1 + z)-1 = \(\sum_{n=0}^{\infty}(-1)^nz^n\)

ব্যাখ্যা:

f(z) = \(\frac{z-1}{z+1}\)

f(z) = 1 - \(\frac{2}{z+1}\)

f(z) = 1 - 2(1 + z)-1

f(z) = 1 - 2\(\sum_{n=0}^{\infty}(-1)^nz^n\)

(3) সঠিক।