1
GATE CE 2012
+1
-0.3
The infinite series $$1 + x + {{{x^2}} \over {2!}} + {{{x^3}} \over {3!}} + {{{x^4}} \over {4!}} + ........$$ corresponds to
A
$$sec\,x$$
B
$${e^x}$$
C
$$cos\,x$$
D
$$1 + si{n^2}x$$
2
GATE CE 2011
+1
-0.3
What should be the value of $$\lambda$$ such that the function defined below is continuous at $$x = {\pi \over 2}$$?
$$f\left( x \right) = \left\{ {\matrix{ {{{\lambda \,\cos x} \over {{\pi \over 2} - x}},} & {if\,\,x \ne {\pi \over 2}} \cr {1\,\,\,\,\,\,\,\,\,\,,} & {if\,\,x = {\pi \over 2}} \cr } } \right.$$
A
$$0$$
B
$${2\pi }$$
C
$$1$$
D
$${{\pi \over 2}}$$
3
GATE CE 2010
+1
-0.3
The $$\mathop {Lim}\limits_{x \to 0} {{\sin \left( {{2 \over 3}x} \right)} \over x}\,\,\,$$ is
A
$${{2 \over 3}}$$
B
$$1$$
C
$${{3 \over 2}}$$
D
$$\propto$$
4
GATE CE 2004
+1
-0.3
The value of the function, $$f\left( x \right) = \mathop {Lim}\limits_{x \to 0} {{{x^3} + {x^2}} \over {2{x^3} - 7{x^2}}}\,\,\,$$ is
A
$$0$$
B
$${-1 \over 7}$$
C
$${1 \over 7}$$
D
$$\infty$$
GATE CE Subjects
Engineering Mechanics
Construction Material and Management
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
General Aptitude
EXAM MAP
Medical
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