Question # 1

In alternating series test ,which one of the following condition must be satisfied

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lim k→∞ a_k=1

a₁>a₂>a_{3...............>a}k

a₁<a₂<a_{3...............<a}k

How many critical points exist for a function f if f'(x)=(x-3)(x-2)

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0

1

3

2

d/dx[cosec x]

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1/1+cos²x

-cos x/1-cos²x

1/1-cos²x

For a sequence {a_n} if the difference between successive terms a_n+1-a_n<=0 then the sequence is known as

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increasing

decreasing

non decreasing

non increasing

What is the base of natural logarithm ?

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2.71

10

5

lim_x→∞(-2x)=

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-2

0

2

Does not exist

If x>0 then d/dx[lnx]=_______

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1

x

1/x

ln 1/x

y=1/1-x dy/dx if then

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1

-1

1/(1-x)²

Lim _x→₀sinx/x

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1

-1

0

2

tan x is continuous everywhere except at points

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+- kπ/2 (k=1,3,5....)

+- kπ/2 (k=2,4,6....)

Not Sure

What is the length of each subinterval,if the interval [1,3]is divided into n sub interval of equal length?

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1/n

2/n

3/n

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