Explore topic-wise MCQs in Complex Numbers.

This section includes 2 Mcqs, each offering curated multiple-choice questions to sharpen your Complex Numbers knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the Taylor Series for the function \(f(x)=e^{-6x}\) about x=-4.

A. \(\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{12} (x+4)^n\)
B. \(\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{24} (x-4)^n\)
C. \(\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{24} (x+4)^n\)
D. \(\sum_{n=0}^{\infty} \frac{(-4)^n}{n!} e^{24} (x+4)^n\)
Answer» D. \(\sum_{n=0}^{\infty} \frac{(-4)^n}{n!} e^{24} (x+4)^n\)
2.

The Taylor series for f(x)=7x2-6x+1 at x=2 is given by a+b(x-2)+c(x-2)2. Find the value of a+b+c.

A. -1
B. 0
C. 17
D. 46
Answer» E.