1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$a, b$$ and $$c$$ are three distinct real numbers and $$\lim _\limits{x \rightarrow \infty} \frac{(b-c) x^2+(c-a) x+(a-b)}{(a-b) x^2+(b-c) x+(c-a)}=\frac{1}{2}$$, then $$a+2 c=$$

A
b
B
2b
C
3b
D
4b
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\lim _\limits{x \rightarrow-\infty} \frac{3|x|-x}{|x|-2 x}-\lim _\limits{x \rightarrow 0} \frac{\log \left(1+x^3\right)}{\sin ^3 x}=$$

A
$$\frac{1}{3}$$
B
$$-\frac{1}{4}$$
C
2
D
$$-\frac{5}{3}$$
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$[\cdot]$$ denotes greatest integer function, then $$\lim _\limits{x \rightarrow \frac{-3}{5}} \frac{1}{\dot{x}}\left[\frac{-1}{x}\right]=$$

A
$$-5 / 3$$
B
$$5 / 3$$
C
$$10 / 3$$
D
$$-10 / 3$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$l, m(l< m)$$ are roots of $$a x^2+b x+c=0$$, then $$\lim _\limits{x \rightarrow \alpha} \frac{\left|a x^2+b x+c\right|}{a x^2+b x+c}=$$

A
$$\frac{|a|}{a}, \forall \alpha \in R$$
B
$$\frac{-|a|}{a} \text {, when } \alpha \notin(l, m)$$
C
$$\frac{-|a|}{a} \text {, when } \alpha \in(1, m)$$
D
$$\frac{|a|}{a} \text {, when } \alpha \in(i, m)$$
AP EAPCET Subjects
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