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NinjaLink
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[SOLVED] Calculus Help with Limits (check my work please)
Some problems, I just couldn't do on my own, but I've done some problems with answers provided here. Please check my work and show me how to do the problems I couldn't do. I would appreciate it.
Problem 1:
Lim
x--> 3^- (left side)
x--> 3^+ (right side)
x--> 3
Expression:
|x+3| / (x-3) <== absolute value expression
--------------------------
Problem 2:
lim x--> 3^-(left side)
f(x) , where
5x-7 if x is less than or equal to 3
and
x^2+1 if x is greater than 3
Answer: f(x) = 8 (I'm not sure if it is right. Correct me if I'm wrong)
---------------------------
Problem 3:
lim
x-->3
(x^2-2x-3)/(x^2-6x+9)
Answer: 1 (I'm not sure if it is right. Correct me if I'm wrong)
---------------------------
Problem 4:
lim
x--> 2^- (left side)
x--> 2^+ (right side)
(3x+1)/(x-2)
--------------------------
Problem 5:
lim
x-->3
(2x+6)/(x)
Answer: 4 (I couldn't figure it out whether it was 4 or 8.)
Some problems, I just couldn't do on my own, but I've done some problems with answers provided here. Please check my work and show me how to do the problems I couldn't do. I would appreciate it.
Problem 1:
Lim
x--> 3^- (left side)
x--> 3^+ (right side)
x--> 3
Expression:
|x+3| / (x-3) <== absolute value expression
--------------------------
Problem 2:
lim x--> 3^-(left side)
f(x) , where
5x-7 if x is less than or equal to 3
and
x^2+1 if x is greater than 3
Answer: f(x) = 8 (I'm not sure if it is right. Correct me if I'm wrong)
---------------------------
Problem 3:
lim
x-->3
(x^2-2x-3)/(x^2-6x+9)
Answer: 1 (I'm not sure if it is right. Correct me if I'm wrong)
---------------------------
Problem 4:
lim
x--> 2^- (left side)
x--> 2^+ (right side)
(3x+1)/(x-2)
--------------------------
Problem 5:
lim
x-->3
(2x+6)/(x)
Answer: 4 (I couldn't figure it out whether it was 4 or 8.)