(a) Letf(x) = sin x sin 1x 1Approximate limx1 f(x) by graphing f and calculatingvalues
Chapter 1, Problem 30(choose chapter or problem)
(a) Let
\(f(x)=\frac{\sin x-\sin 1}{x-1}\)
Approximate \(\lim _{x \rightarrow 1} f(x)\) by graphing \(f\) and calculating values for some appropriate choices of \(x\).
(b) Use the identity
\(\sin \alpha-\sin \beta=2 \sin \frac{\alpha-p}{2} \cos \frac{\alpha+p}{2}\)
to find the exact value of \(\lim _{x \rightarrow 1} f(x)\).
Equation Transcription:
f(x) =
limx→1 f(x)
f
x
sin − sin
= 2 sin
cos
Text Transcription:
f(x) = sinx - sin 1/x - 1
lim_x right arrow 1 f(x)
f
x
sin alpha - sin beta = 2 sin alpha - beta/2 cos alpha + beta/2
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