Question

Nilai \[ \lim _{x \rightarrow 0}\left(\frac{\cos 4 x \cdot \sin x}{5 x}\right)=\ldots \] \( 4 / 5 \) \( 3 / 5 \) 0 \( 1 / 5 \) \( 2 / 5 \) * Nilai \( \lim _{x \rightarrow \frac{\pi}{4}} \frac{\sin 2 x}{\sin x+\cos x}=\cdots \). A. \( \sqrt{2} \) D. 0 B. \( \frac{1}{2} \sqrt{2} \) E. -1 C. 1 \( A \) \( B \) \( C \) \( D \) \( E \)

          Nilai
\[
\lim _{x \rightarrow 0}\left(\frac{\cos 4 x \cdot \sin x}{5 x}\right)=\ldots
\]
\( 4 / 5 \)
\( 3 / 5 \)
0
\( 1 / 5 \)
\( 2 / 5 \)
*

Nilai \( \lim _{x \rightarrow \frac{\pi}{4}} \frac{\sin 2 x}{\sin x+\cos x}=\cdots \).
A. \( \sqrt{2} \)
D. 0
B. \( \frac{1}{2} \sqrt{2} \)
E. -1
C. 1
\( A \)
\( B \)
\( C \)
\( D \)
\( E \)

Nilai

limx → 0((cos 4 x ·sin x)/(5 x))=…

4 / 5
3 / 5
0
1 / 5
2 / 5
*

Nilai limx →(π)/(4)(sin 2 x)/(sin x+cos x)=⋯.
A. √(2)
D. 0
B. (1)/(2)√(2)
E. -1
C. 1
A
B
C
D
E

Added by Domingo C.

Calculus

Ron Larson, Robert P. Hostetler, Bruce… 8th Edition

Chapter 1

Instant Answer

Solved by Expert Nick Johnson

09/22/2021

Step 1

Step 1: Consider the first limit problem: \[ \lim _{x \rightarrow 0}\left(\frac{\cos 4 x \cdot \sin x}{5 x}\right) \] Step 2: Use the small-angle approximations for trigonometric functions: \[ \cos 4x \approx 1 \quad \text{and} \quad \sin x \approx x \quad Show more…

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Nilai \[ \lim _{x \rightarrow 0}\left(\frac{\cos 4 x \cdot \sin x}{5 x}\right)=\ldots \] \( 4 / 5 \) \( 3 / 5 \) 0 \( 1 / 5 \) \( 2 / 5 \) * Nilai \( \lim _{x \rightarrow \frac{\pi}{4}} \frac{\sin 2 x}{\sin x+\cos x}=\cdots \). A. \( \sqrt{2} \) D. 0 B. \( \frac{1}{2} \sqrt{2} \) E. -1 C. 1 \( A \) \( B \) \( C \) \( D \) \( E \)