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Each question in this section has four choices (a), (b), (c) and (d) out of which only one is correct. Mark your choices as follows:
(a) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT-2 is True
Let \( F(x) \) be an indefinite integral of
\[
\frac{1}{(\sin x+\cos x)^{2}}, F(0)=0 .
\]
Statement 1: \( \lim _{x \rightarrow \pi / 4} F(x)=1 \)
- Statement 2: \( \frac{\cos x}{\sin x+\cos x} \) is a continuous at \( x=\pi / 4 \).
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