Question

solve: lim(x->1+) (x-1)^(1-x)

Answer 1

1

Answer 2

i also need the steps involved

Answer 3

You might try a table of values such as
x=1.1
x=1.01
x=1.001
x=1.0001

We often use this method as we introduce the topic of limits.

Answer 4

You can also use a graphical approach to verify your solution.

Answer 5

Use the same method I showed you before for that sin^tan limit.
- let y = the limit
- Take ln of both sides
- If possible, apply L'Hopital's
- If needed, iterate L'Hopital's