plz fast Q Evaluate limx→∞2-x sin2x - Maths - Limits and Derivatives

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plz fast
Q Evaluate lim x → ∞ 2 - x   sin 2 x

Aarushi Mishra · Accepted Answer

limx→∞ 2-x sin 2x=limx→∞ sin 2x2xNote: sin 2x is bounded -1≤sin 2x≤1 for all x
 As x→∞, 2x→∞
 So denominator goes to ∞ while numerator is between -1 and 1
 So this limit must be zero=0

.plz fast Q. Evaluate lim x → ∞ 2 - x sin 2 x

.plz fast
Q. Evaluate $\lim_{x \to \infty} 2^{- x} \sin (2^{x})$