Engineering Board Exam Reviewer · Special Limits and Indeterminate Forms · hard

Evaluate x 0≤ft( 1x- 1 x ).

1. 1
2. 0
3. -1
4. ∞

Answer

B. 0

Solution

Combine: x-x/x x, which is 00. By L'Hôpital: x-1/ x+x x 00. Again: - x/2 x-x x 0/2=0.

More Special Limits and Indeterminate Forms questions

1. Evaluate x 0ex-1-x/x2.
2. Evaluate x 0+x x.
3. Evaluate x ∞x2e-x.
4. Evaluate x 01- 2x/x2.
5. Evaluate x 1 x/x-1.
6. Evaluate x 0 e3x-1 x.
7. Evaluate: x 0 3x/x
8. Evaluate: x 01- x/x2
9. Evaluate: x 0 5x/ 2x
10. Evaluate: x ∞≤ft(1+3/x )x

All Special Limits and Indeterminate Forms questions