1
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of the expansion $$\mathop {Lim}\limits_{x \to 0} \left[ {{{\sin \left( x \right)} \over {{e^x}X}}} \right]\,\,$$ is
A
$$0$$
B
$${1 \over 2}$$
C
$$1$$
D
$${1 \over {1 + e}}$$
2
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
For the function $$\,\,f\left( {x,y} \right) = {x^2} - {y^2}\,\,$$ defined on $${R^2},$$ the point $$(0,0)$$ is
A
a local minimum
B
Neither a local minimum (nor) a local maximum.
C
a local maximum
D
Both a local minimum and a local maximum
3
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
What is the value of $$\mathop {Lim}\limits_{x \to \pi /4} {{\cos x - \sin x} \over {x - \pi /4}}\,\,$$
A
$$\sqrt 2 $$
B
$$0$$
C
$$-\sqrt 2 $$
D
Limit does not exist
4
GATE PI 1995
Fill in the Blanks
+1
-0
Given
$$y = \int\limits_1^{{x^2}} {\cos t\,\,\,dt,} $$ $${\,\,\,}$$ then $${{dy} \over {dx}} = \_\_\_\_\_.$$
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