Find the indicated limit
lim 3x^2 + 7x -2 / 3x^2 - 4x + 2
x--> 1
Do you mean with parentheses like this?
lim (3x^2 + 7x -2) / (3x^2 - 4x + 2)
x--> 1
If so, nothing singular happens as x --->1. You can just put in x = 1
(3+7 -2)/(3-4+2) = 8/1 = 8
Maybe you mean as x goes to infinity?
Then the x^2 terms would dominate both top and bottom and you would have 3 huge^2/3 huge^2 which is one
To find the indicated limit, we substitute x = 1 into the expression and simplify:
lim (x --> 1) (3x^2 + 7x - 2) / (3x^2 - 4x + 2)
Substituting x = 1:
(3(1)^2 + 7(1) - 2) / (3(1)^2 - 4(1) + 2)
Simplifying:
(3 + 7 - 2) / (3 - 4 + 2)
8 / 1
Therefore, the limit is 8.
To find the limit, we can substitute the value that x approaches into the expression. In this case, x approaches 1. Plugging in x = 1 into the expression, we get:
(3(1)^2 + 7(1) - 2) / (3(1)^2 - 4(1) + 2)
Simplifying, we get:
(3 + 7 - 2) / (3 - 4 + 2)
= 8 / 1
= 8
Therefore, the limit as x approaches 1 is 8.