# Find the limit

posted by .

Find the limit.

lim t+2/t-5
t-->5-

• Find the limit -

first, we observe what happens when t approaches 5:
lim (t+2)/(t-5) as t->5
7/0 = infinity
which can be (+) or (-) infinity

since it's 5- or to the left of 5, some of the values can be 4.99, 4.999, 4.9999,, if we choose for instance, 4.999,
4.999 - 5 = -0.001 *negative*

thus, the lim (t+2)/(t-5) as t->5- is
(-) infinity

## Similar Questions

1. ### calc

need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting the limit for the numerator and denominator lim lim x->0 4(e^2x-1) (4)x->0 (e^2x-1) ______________ = ________________ lim lim x->0 e^X-1 x->0 e^x-1 …

hi what is lim as x reaches one of the function x/LN(x) is it one or does the limit it not exist. hi what is limit as x reaches one of the function x/LN(x) is it one or does the limit it not exist. Have you tried graphing it?
3. ### Math

Find the Limit Lim x-5/ (1/x)-(1/5) x->5 can I assume that 1/x is going to infinity so (1/x) is zero?
4. ### Calculus

Find the positive integers k for which lim ->0 sin(sin(x))/x^k exists, and then find the value the limit. (hint:consider first k=0, then k=1. Find the limit in these simple cases. Next take k=2 and finally consder k>2 and find …
5. ### calc

Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ...If you do L'Hop. Rule it would take forever, right?
6. ### Calculus 3

Find the limit, if it exists, or show that the limit does not exist. lim of x+y/y^2-x^2 as (x,y) approaches the point (-1,1).
7. ### Calculus 3

Find the limit, if it exists, or show that the limit does not exist. lim of x+y/y^2-x^2 as (x,y) approaches the point (-1,1).
8. ### Calculus

I have two similar problems that I need help completing. Please show all your work. Question: Find the limit L. Then use the å-ä definition to prove the limit is L. 1. lim (2x+5) x->3 2. lim 3 x->6 Thank you for your anticipated …