1
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
Which of the following function would have only odd powers of $$x$$ in its Taylor series expansion about the point $$x=0$$ ?
A
$$\sin \left( {{x^3}} \right)$$
B
$$sin\left( {{x^2}} \right)$$
C
$$cos\left( {{x^3}} \right)$$
D
$$cos\left( {{x^2}} \right)$$
2
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {Lim}\limits_{\theta \to 0} {{\sin \left( {\theta /2} \right)} \over \theta }\,\,\,$$ is
A
$$0.5$$
B
$$1$$
C
$$2$$
D
not defined
3
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
The following plot shows a function $$y$$ which varies linearly with $$x$$. The value of the integral $$\,\,{\rm I} = \int\limits_1^2 {y\,dx\,\,} $$ GATE ECE 2007 Engineering Mathematics - Calculus Question 43 English
A
$$1$$
B
$$2.5$$
C
$$4$$
D
$$5$$
4
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
For the function $${e^{ - x}},$$ the linear approximation around $$x=2$$ is
A
$$\left( {3 - x} \right){e^{ - 2}}$$
B
$$1-x$$
C
$$\left[ {3 + 2\sqrt 2 - \left( {1 + \sqrt 2 } \right) + x} \right]{e^{ - 2}}$$
D
$${e^{ - 2}}$$
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