Real Analysis - Mathematics Previous Year Questions

A

0

B

1

C

10

D

\(\frac{80}{3}\)

A

\(\frac{1}{4} \)

B

\(\frac{1}{2} \)

C

1

D

2

A

\(e^{-x} > \sum_{j=0}^2 \frac{(-x)^j}{j!}\)

B

\(e^{-x} < \sum_{j=0}^3 \frac{(-x)^j}{j!}\)

C

\(e^{-x} > \sum_{j=0}^3 \frac{(-x)^j}{j!}\)

D

\(e^{-x} > \sum_{j=0}^4 \frac{(-x)^j}{j!}\)

A

\([1, 2] \cup [3, 4]\)

B

\([0, \infty)\)

C

\([0, 1]\)

D

\(\{0\} \cup \left\{\frac{1}{n} : n \in \mathbb{N}\right\}\)