1
GATE PI 2016
MCQ (Single Correct Answer)
+2
-0.6
The range of values of $$k$$ for which the function $$\,\,f\left( x \right) = \left( {{k^2} - 4} \right){x^2} + 6{x^3} + 8{x^4}$$ has a local maxima at point $$x=0$$ is
A
$$k < - 2\,\,\,or\,\,\,k > 2$$
B
$$k \le - 2\,\,\,or\,\,\,k \ge 2$$
C
$$ - 2 < k < 2$$
D
$$ - 2 \le k \le 2$$
2
GATE PI 2016
Numerical
+2
-0
$$\mathop {\lim }\limits_{x \to 0} \left( {{{{e^{5x}} - 1} \over x}} \right)$$ is equal to ________.
Your input ____
3
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
The value of $$\mathop {\lim }\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} {{{x^2} - xy} \over {\sqrt x - \sqrt y }}$$ is
A
$$0$$
B
$${{1 \over 2}}$$
C
$$1$$
D
$$\infty $$
4
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
The curve $$\,\,y = {x^4}\,\,$$
A
concave up for all values of $$x$$
B
concave down for all values of $$x$$
C
concave up only for positive values of $$x$$
D
concave up only for negative values of $$x$$
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