A) 4
B) 2
C) 1
D) 0
Correct Answer: A
Solution :
\[\underset{x\to a}{\mathop{\lim }}\,\frac{f(a)\,g(x)-f(a)-g(a)f(x)+g(a)}{g(x)-f(x)}=4\] Applying L' Hospital rule, \[\underset{x\to a}{\mathop{\lim }}\,\frac{f(a)\,g'(x)-g(a)f'(x)}{g'(x)-f'(x)}=4\] \[\Rightarrow \] \[\underset{x\to a}{\mathop{\lim }}\,\frac{k\,g'(x)-kf'(x)}{g'(x)-f'(x)}=4\] \[\Rightarrow \] k = 4You need to login to perform this action.
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