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True or false: let x be a variable and a be a constant. If x takes values greater than a and approaches to a, then we say that x tends to a from left and write it as:x → a?
Correct Answer Is : FALSE Evaluate: lim (x →2) (x - 2 / x 2 + x - 6 ) Correct Answer Is : ( 1 / 5 ) Evaluate: lim (x →3)[(1 / x - 3) (2 / x2 - 4x + 3 ) Correct Answer Is : ( 1 / 2 ) Evaluate: lim (x →4)(x4 - 64x / √(x2 + 9 -5)) Correct Answer Is : 240 Lim (θ →0) (sin θ/θ) = ? Correct Answer Is : 1 The open interval (a-δ,a+δ), this open interval is called δ neighbourhood of a, it is denoted by: Correct Answer Is : Nδ(a) Evaluate: lim (x →0) (1- cos 4x/x2 ) Correct Answer Is : 8 True or false:as x → a we have x ≠ a, it means x ∊ Nδ(a) + {a}. Correct Answer Is : FALSE Evaluate: lim (x →a) (sin x - sin a/x - a) Correct Answer Is : Cos a Evaluate: lim (x →0) (3^x + 3^(-x)-2/x.tan x) Correct Answer Is : (log 3)2 