Question: Let G(x) x2 = +|x-1| for x 4. |4 x| a) As a approaches 4, the quotient gives an indeterminate form of the type

Let G(x) x2 = +|x-1| for x 4. |4 x| a) As

a approaches 4, the quotient gives an indeterminate form of the type

0 0/0 00 O 0/0 0 100 -x-12 0 0 0 x

0 b) Using properties of absolute value, assume x > 4 and

simplify the expression G(x). c) Compute the limit as a goes to

4 from the right, if it exists. d) Simplify the expression for

Let G(x) x2 = +|x-1| for x 4. |4 x| a) As a approaches 4, the quotient gives an indeterminate form of the type 0 0/0 00 O 0/0 0 100 -x-12 0 0 0 x 0 b) Using properties of absolute value, assume x > 4 and simplify the expression G(x). c) Compute the limit as a goes to 4 from the right, if it exists. d) Simplify the expression for G(x) when 1 < x < 4. e) Compute the limit as a goes to 4 from the left, if it exists. f) Using (c) and (e) above, compute the limit as x goes to 4, if it exists.

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