If f(x)={(7-4x,x<1),(x^2+2,x >= 1):} then value of lim_(x -> )−6 f(x) is A)14 B)31 C)it does not exist D)18

Kayley Kidd

Kayley Kidd

Answered question

2023-01-07

If f ( x ) = { 7 4 x , x < 1 x 2 + 2 , x 1
then value of lim x 6 f ( x ) is
A)14
B)31
C)it does not exist
D)18

Answer & Explanation

Trinity Walter

Trinity Walter

Beginner2023-01-08Added 7 answers

The correct option is B 31
∵−6<1
So, there will be values of x on both sides of −6 in the range x<1 and so we can assume that, in the limit we will have x<1. This will allow us to use piece of the function in that range and then just use standard limit technique to compute the limit.
lim x 6 f ( x ) = lim x 6 ( 7 4 x ) = 31

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