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if f(a)=f'(a)=g(a)=-g'(a) = - then lim x tends to a g(x)f(a)-g(a)f(x)/x-a is

if f(a)=f'(a)=g(a)=-g'(a) = - then lim x tends to a g(x)f(a)-g(a)f(x)/x-a is

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
:- Here also we use the L hospital rule for limit.
        Lim (xàa) g(x)f(a)- g(a)f(x)/x-a
             = lim (xàa) g'(x)f(a) – g(a)f'(x)/1
              Putting a in place of x
             = g'(a)f(a)- g(a)f'(a)
             =g'(a)f(a)+ g'(a)f(a).          [ as given in conditon]
             = 2 g'(a)f(a).
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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