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 ___________.
2
GATE CSE 2016 Set 1
Numerical
+1
-0
$$\mathop {\lim }\limits_{x \to 4} {{\sin \left( {x - 4} \right)} \over {x - 4}} = \_\_\_\_\_\_\_.$$
3
GATE CSE 2015 Set 1
+1
-0.3
$$\,\,\mathop {\lim }\limits_{x \to \infty } \,{x^{1/x}}\,\,$$ is
A
$$\infty$$
B
$$0$$
C
$$1$$
D
Not defined
4
GATE CSE 2015 Set 1
+1
-0.3
If $$g(x)=1-x$$ & $$h\left( x \right) = {x \over {x - 1}}\,\,$$ then $$\,\,{{g\left( {h\left( x \right)} \right)} \over {h\left( {g\left( x \right)} \right)}}\,\,\,$$ is
A
$${{h\left( x \right)} \over {g\left( x \right)}}$$
B
$${{ - 1} \over x}$$
C
$${{g\left( x \right)} \over {h\left( x \right)}}$$
D
$${x \over {{{\left( {1 - x} \right)}^2}}}$$
GATE CSE Subjects
EXAM MAP
Medical
NEET