displaystyle limh → 0 (f(2h+2+h2) - f(2)/f(h-h2+1)-f(1)) , given that f' (2) = 6 and f'(1) = 4

Question

displaystyle limh → 0 (f(2h+2+h2) - f(2)/f(h-h2+1)-f(1)) , given that f' (2) = 6 and f'(1) = 4 (A) does not exist (B) is equal to - 3/2 (C) is equal to 3/2 (D) is equal to 3

Tardigrade Admin · Accepted Answer

Correct answer is (d) is equal to 3

Q. h→0lim​f(h−h2+1)−f(1)f(2h+2+h2)−f(2)​ , given that f' (2) = 6 and f'(1) = 4

does not exist

is equal to - 3/2

is equal to 3/2

is equal to 3

Correct answer is (d) is equal to 3

Q. $h \to 0 lim \frac{f ( 2 h + 2 + h ^{2} ) - f ( 2 )}{f ( h - h ^{2} + 1 ) - f ( 1 )}$ , given that f' (2) = 6 and f'(1) = 4