If \[f(x)\] has a derivative at \[x=a,\]then \[\underset{x\to a}{\mathop{\lim }}\,\frac{xf(a)-af(x)}{x-a}\] is equal to [AMU 2000]

If \[f(x)\] has a derivative at \[x=a,\]then \[\underset{x\to a}{\math

1.	If \[f(x)\] has a derivative at \[x=a,\]then \[\underset{x\to a}{\mathop{\lim }}\,\frac{xf(a)-af(x)}{x-a}\] is equal to [AMU 2000]
A.	\[f(a)-a\,f\,'(a)\]
B.	\[a\,f(a)-f\,'(a)\]
C.	\[f(a)+f'(a)\]
D.	\[a\,f(a)+f\,'(a)\]
Answer» B. \[a\,f(a)-f\,'(a)\]

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If \[f(x)\] has a derivative at \[x=a,\]then \[\underset{x\to a}{\mathop{\lim }}\,\frac{xf(a)-af(x)}{x-a}\] is equal to [AMU 2000]

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