Question
Question: Let f(x) = \(\left\{ \begin{matrix} 2x^{2} + 2/x^{2}; & 0 < |x| \leq 2 \\ 1; & x = 0 \end{matrix} \r...
Let f(x) = {2x2+2/x2;1;0<∣x∣≤2x=0 Then f(x) has
A
None of these
B
Greatest value 4
C
Neither greatest or least value
D
Least value 1 but no greatest value
Explanation
Solution
For x ® 0
2x2 + x22 ® ¥ also 2(x2+x21) ³ 4