1
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
In the Taylor series expansion of $${e^x}$$ about $$x=2,$$ the coefficient of $$\,\,{\left( {x - 2} \right)^4}\,\,$$ is
A
$${1 \over {4!}}$$
B
$${{{2^4}} \over {4!}}$$
C
$${{{e^2}} \over {4!}}$$
D
$${{{e^4}} \over {4!}}$$
2
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\,\,\mathop {Lim}\limits_{x \to 8} {{{x^{1/3}} - 2} \over {x - 8}}\,\,$$ is
A
$${1 \over {16}}$$
B
$${1 \over {12}}$$
C
$${1 \over {8}}$$
D
$${1 \over {4}}$$
3
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
The minimum value of function $$\,\,y = {x^2}\,\,$$ in the interval $$\,\,\left[ {1,5} \right]\,\,$$ is
A
$$0$$
B
$$1$$
C
$$25$$
D
undefined
4
GATE ME 2005
MCQ (Single Correct Answer)
+1
-0.3
$$\int\limits_{ - a}^a {\left[ {{{\sin }^6}\,x + {{\sin }^7}\,x} \right]dx} $$ is equal to
A
$$2\int\limits_0^a {Si{n^6}x\,dx} $$
B
$$2\int\limits_0^a {Si{n^7}x\,dx} $$
C
$$2\int\limits_0^a {\left( {{{\sin }^6}x + {{\sin }^7}x} \right)dx} $$
D
zero
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Turbo Machinery
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