Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$lim_{x\rightarrow1}\frac{f_{9x-2}}{2\pi x3}$$

Answer

$$-66*PI*x+9*IM*l*m*x^2*f$$

Solution


Regroup terms.
\[9lmxxf\imath -22\pi x\times 3\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[9lm{x}^{2}f\imath -22\pi x\times 3\]
Regroup terms.
\[9\imath lm{x}^{2}f-22\pi x\times 3\]
Simplify  \(22\pi x\times 3\)  to  \(66x\pi \).
\[9\imath lm{x}^{2}f-66x\pi \]
Regroup terms.
\[9\imath lm{x}^{2}f-66\pi x\]
Regroup terms.
\[-66\pi x+9\imath lm{x}^{2}f\]
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