a) -1
b) 0
c) 1
d) Does not exist
If you can explain that would be very helpful! thanks!
∵ x³ ≤ ƒ(x) ≤ x
∴ [ lim (x→0) x³ ] ≤ [ lim (x→0) ƒ(x) ] ≤ [ lim (x→0) x ]
∴ 0 ≤ [ lim (x→0) ƒ(x) ] ≤ 0
∴ by Sandwich Theorem,
... lim (x→0) ƒ(x) = 0
∴ Correct Option is : b) 0. ........................... Ans.
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Verified answer
∵ x³ ≤ ƒ(x) ≤ x
∴ [ lim (x→0) x³ ] ≤ [ lim (x→0) ƒ(x) ] ≤ [ lim (x→0) x ]
∴ 0 ≤ [ lim (x→0) ƒ(x) ] ≤ 0
∴ by Sandwich Theorem,
... lim (x→0) ƒ(x) = 0
∴ Correct Option is : b) 0. ........................... Ans.
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