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State whether the following statements are true or false as x-+co. (a) x = 0(3x) (b) x = o(x +6) (c) x = O(x +

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State whether the following statements are true or false as x-+co. (a) x = 0(3x) (b) x = o(x +6) (c) x = O(x + 6) (d) x = 0(2x) (e) ex =o(e4x ) (f) 3x + In x = O(x) (g) In x = o(In 2x) (h) vx +6 = 0(x) (a) Is x = o(3x) as x-+ co true or false? False O True (b) Is x = o(x + 6) as x-+ co true or false? True O False (c) Is x = O(x + 6) as x-+ co true or false? True O False (d) Is x = O(2x) as x-> co true or false? O True O False (e) Is e* = o (@4* ) as x-+ co true or false? True O False (f) Is 3x + In x = O(x) as x-+ co true or false? O False O True (g) Is In x = o(In 2x) as x-+ co true or false? O True O False (h) Is vx + 6 = O(x) as x- co true or false? O True O False

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