Question # 1

lim_x→∞(-2x)=

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-2

0

2

Does not exist

If f(x)=e^-xat x=0 be the taylor series ,then which of the following is also true?

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Arithmetic Series

Maclaurin Series

Geometric Series

Harmonic Series

If f is a continuous function such that lim_x_→+_∞=+∞ andlim_x_→+_∞=+∞ the f has on

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maximum value but no minimum

minimum value but not maximum

both maximum and minimum value

{1/2ⁿ}ⁿ1 represent the sequence

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-1/2,-1/4,-1/8

1/2,1/4,1/7=8

0,1,1/2,1/4

set{...-4,-3 ,-2,-1,0,1,2,3,4} is known as the set of

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natural number

Integer

whole number

Let x_obe the critical point of the function f,those critical point for which f'(x_o)=0 are called _______ of

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Local points

End points

Stationary points

For a graph to be symmetric about y axis mean ,for each point (x,y) on the graph the point ____ is also on the graph

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(x,-y)

(-x,y)

(-x,-y)

Chain rule is a rule for differentiating ______ of functions

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Product

Sum

Composition

Difference

log_ba^r=____?

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alog_br

r log_ba

log_ba /log_br

For a function f ,let f'(x_n)=0 for some n Does the newton method for work for approximating the solution of f(x)=0

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yes

no

not sure

The equation (x+4)²+(y+1)²=6 represent a circle having center at____ and radius

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(-4,1),undertoot 6

(-4,-11),undertoot 6

None of these

lim x→0⁺ln x/1/x=_______

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1

0

none of these

______ is the special case for the Taylor's theorem

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Roll's Theorem

Picard's Method

Integration

Maclaurin Theorem

What is the sum of the following series?

1+2+3+----+n

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n+1/2

(n+1)(n+2)/2

n(n+2)/2

n(n+1)/2

Let y=(x³+2x)³⁷ Let Which of the following is correct?

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dy/dx=(37)(x³+2x)³⁶

dy/dx=(111x²)(x³+2x)³⁶

dy/dx=(111x²+74)(x³+2x)³⁶

The lim x→a f(x)=___ where f(x)=k

The k is constant

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K+1

K+2

k

log_bac=_____

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log_ba +log_bc

log_ba - log_bc

log_ba /log_bc

log_ba *log_bc

The graph of the equation y=x²-4x+5 will represent

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Parabola

Straight Line

Ellipse

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

If the partial sum of series is finite then the series will be:

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Convergent

GIve no information

Not Sure

log_b1/t =________

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log_bt

1-log_bt

1+log_bt

-log_bt

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