Question

Determine the following limits (answer as appropriate, with a number,infinity sign, infinity sign with a negative , or DNE).

Answer 1

1) lim x -> 1 - (1 - 2x)/x^2 - 1
2) lim x -> infinity sign (x^8 - 2x + 1)/(3x^8 + 4x^2 -1)
3) lim x -> 0 + e -2/x

Answer 2

DNE for # 1
1/3 for #2

Is the last one the limit as x approaches 0 for (e-2) / (x) or e -(2/x) ?

Answer 3

(e-2)

Answer 4

DNE then