# Math

posted by .

If the limit as x approaches 1 for (f(x) - 7)/(x-1)=8,
evaluate the limit as x approaches 1 for f(x)

• Math -

the left is undefined as x >> 1
but for any other x very close to x = 1
f(x) - 7 = 8(x-1)
for example if x = .99
f(.99) - 7 = 8(.99-1) = 8 (-.01) = - .08
f(.99) = 7 -.08
which might give us a hint as to where f(x) was going :)
in fact it looks to me like
f(x) - 7 = 8(x-1)
is similar to
f(x) = 7 + 8(x-1)
and as x >>1
f(1) =7 +8(0) = 7

• Math -

Thank you so much!!

## Similar Questions

1. ### Differential Calculus

use the rule that says limit of (e^h - 1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h)-lnx]/h as h approaches 0 = 1/x, where x>0
2. ### Differential Calculus

use the rule that says limit of (e^h - 1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h) -lnx]/h as h approaches 0 = 1/x, where x>0
3. ### calculus

use the rule that says limit of (e^h - 1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h) -lnx]/h as h approaches 0 = 1/x, where x>0
4. ### Algebraic limits

The limit as x approaches infinity. (1)/(5^x) The limit as x approaches 1. (1-x^3)/(2-sqrt(x^2-3)) Show your work thanks in advance!
5. ### Calculus

Could someone please help me with these questions;I was having trouble with these four questions. Evaluate each limit, if it exists, using any appropriate technique. 1.) The limit as u approaches 4; u^2-16/u^3-64 2.) The limit as x …

Evaluate the limit: Limit as x approaches 6 from the right: Sq.root of (x - 6). I know the limit is 0, but how do I show this?
7. ### Calculus

Evaluate the limit. The limit as x approaches 0 of (x-sin(x))/(x-tan(x))
8. ### Calculus

Evaluate the following limit. lim e^(tanx) as x approaches the righter limit of (pi/2)
9. ### Calculus

1. Evaluate the function at the given numbers (correct to six decimals places). Use the results to guess the value of the limit,or explain why it does not exist. F(t)=( t^(1/3) - 1)/(t^(1/2) - 1) ; t= 1.5,1.2,1.1,1.01,1.001; The limit …
10. ### Calculus

Evaluate the limit using algebraic techniques. limit of (x^2 - 25)/(x^2 - 4x - 5) as x approaches 0. How do I do this?

More Similar Questions