1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The value of $$\mathop {\lim }\limits_{x \to 1} {{x + {x^2} + ..... + {x^n} - n} \over {x - 1}}$$ is

A
n
B
$${{n + 1} \over 2}$$
C
$${{n(n + 1)} \over 2}$$
D
$${{n(n - 1)} \over 2}$$
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

$$\mathop {\lim }\limits_{x \to 0} {{\sin (\pi {{\sin }^2}x)} \over {{x^2}}} = $$

A
$$\pi$$2
B
3$$\pi$$
C
2$$\pi$$
D
$$\pi$$
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If the function $$f(x) = \left\{ {\matrix{ {{{{x^2} - (A + 2)x + A} \over {x - 2}},} & {for\,x \ne 2} \cr {2,} & {for\,x = 2} \cr } } \right.$$ is continuous at x = 2, then

A
A = 0
B
A = 1
C
A = $$-$$1
D
A = 2
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

$$f(x) = \left\{ {\matrix{ {[x] + [ - x],} & {when\,x \ne 2} \cr {\lambda ,} & {when\,x = 0} \cr } } \right.$$

If f(x) is continuous at x = 2, the value of $$\lambda$$ will be

A
$$-$$ 1
B
1
C
0
D
2
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12