SOLUTION: What is the left-hand limit of f(x)= |x-3|/(x-3) as x approaches 3? a. 1 b. 2 c. 0 d. -1 e. -2

Algebra.Com
Question 1178294: What is the left-hand limit of f(x)= |x-3|/(x-3) as x approaches 3?
a. 1
b. 2
c. 0
d. -1
e. -2

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

It is -1;  option d.


Simply because  |x-3| = -(x-3)  at x < 3.

Answered and explained in all details.



RELATED QUESTIONS

What is the right-hand limit of f(x)=x/x-5 as x approaches 5? a. 2 b. ∞ c. -∞... (answered by MathLover1)
Which statement best describes the end behavior of the function f(x)=3-5x+2x^2-7x^3 (answered by josgarithmetic)
What is the right-hand limit of this function at x=2? g(x)=x^2-3/x-3 a. -1 b. 0 c. 1 (answered by ikleyn)
Let f(x) be sqrt(3-x) where x <= 1, x^2 where 1= 3. Find: limit (answered by Fombitz)
Provide an example of functions f(x) and g(x) with the limit as x approaches infinity of... (answered by richard1234)
Algebraically solve for the limit as x approaches 0 of ((2+x)^3 -... (answered by jsmallt9)
given: F(x) = x/x^2-9 a. Find the x-intercept(s). b. Find the y-intercept(s). c. Find (answered by stanbon)
as x approaches 1 find the limit of... (answered by stanbon)
Evaluate limit as x approaches 1 at f of x for f of x equals the quantity 5 times x minus (answered by Fombitz)