Question

Evaluate the following limit (if possible) $\lim_{x \to 0} \frac{5 \sin^3(4x)}{7x^3}$ A 0 B Does not exist. C $\frac{320}{343}$ D $\frac{320}{7}$ E $\frac{20}{7}$ F None of the above.

          Evaluate the following limit (if possible) $\lim_{x \to 0} \frac{5 \sin^3(4x)}{7x^3}$ 
A 0
B Does not exist.
C $\frac{320}{343}$
D $\frac{320}{7}$
E $\frac{20}{7}$
F None of the above.

Evaluate the following limit (if possible) limx → 0(5 sin^3(4x))/(7x^3)
A 0
B Does not exist.
C (320)/(343)
D (320)/(7)
E (20)/(7)
F None of the above.

Added by Robert B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/04/2023

Step 1

Step 1: To evaluate the limit \lim_(x->0)(5sin^(3)(4x))/(7x^(3)), we can first simplify the expression by using the trigonometric identity sin^3(x) = (3sin(x) - sin(3x))/4. Show more…

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Evaluate the following limit (if possible) lim_(x->0)(5sin^(3)(4x))/(7x^(3)) A. 0 B. Does not exist. C. (320)/(343) D. (320)/(7) E. (20)/(7) F. None of the above. Evaluate the following limit if possiblelim 5sin4 T-5O 773 A. 0 B. Does not exist C. 320 343 D. 320 7 E. 20 7 F. None of the above