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Question:
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Let
Which of the following statements is FALSE?
Options:
Which of the following statements is FALSE?
Solution:
2148 Upvotes
Verified Answer
The correct answer is:
$C^{\prime}(\theta) \neq 0$ for all $\theta \in R$
$$
\begin{array}{l}
\mathrm{C}(0)=\mathrm{e} \\
\mathrm{C}(\pi)=\frac{1}{\mathrm{e}}
\end{array}
$$
Option A, B correct
$$
C^{\prime}(\theta)=-\sum_{\mathrm{n}-0}^{\mathrm{x}} \frac{\sin \theta}{(\mathrm{n}-1) !}
$$
$$
C^{\prime}(\theta)=0
$$
Option D false
\begin{array}{l}
\mathrm{C}(0)=\mathrm{e} \\
\mathrm{C}(\pi)=\frac{1}{\mathrm{e}}
\end{array}
$$
Option A, B correct
$$
C^{\prime}(\theta)=-\sum_{\mathrm{n}-0}^{\mathrm{x}} \frac{\sin \theta}{(\mathrm{n}-1) !}
$$
$$
C^{\prime}(\theta)=0
$$
Option D false
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