1
GATE CSE 2016 Set 2
Numerical
+1
-0
Let $$f(x)$$ be a polynomial and $$g\left( x \right) = f'\left( x \right)$$ be its derivative. If the degree of $$\left( {f\left( x \right) + f\left( { - x} \right)} \right)$$ is $$10,$$ then the degree of $$\left( {g\left( x \right) - g\left( { - x} \right)} \right)$$ is ___________.
Your input ____
2
GATE CSE 2016 Set 1
Numerical
+1
-0
$$\mathop {\lim }\limits_{x \to 4} {{\sin \left( {x - 4} \right)} \over {x - 4}} = \_\_\_\_\_\_\_.$$
Your input ____
3
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A function $$f(x)$$ is linear and has a value of $$29$$ at $$x=-2$$ and $$39$$ at $$x=3.$$ Find its value at $$x=5.$$
A
$$59$$
B
$$45$$
C
$$43$$
D
$$35$$
4
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\mathop {\lim }\limits_{x \to \alpha } {\left( {1 + {x^2}} \right)^{{e^{ - x}}}}\,\,$$ is
A
$$0$$
B
$${{1 \over 2}}$$
C
$$1$$
D
$$\infty $$
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