Question

hyy plzz help .... Q. 19

Answer 1

Result: a = -8 and b = 15.

(a+b) = 7 .


We know that,
f(5+) = f(5+h) where h tends to 0 +.

Now,
We know that
{5+h} = h where { } is fractional part of function.

Steps :
1)
=> sin {5+h} = sin {h} where h tends to 0

=> lim h tends to 0: sin {h} =0



Now,
function has to be of form 0/0 to get value of x as finite .

2) Denominator with x = 5+h and with limit h tends to 0 has to be 0 to get form 0/0.


This gives two equations in a and b.
$25 + 5a + b = 0 \\ 9 + 3a + b = 0$


Solving these two equations we get,
a = -8
b = 15


Hence, a + b = 7


Hope, you understand my answer.