105
Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L’Hôpital’s Rule
829. lim
x
x
x
e
x
→
+
+
(
)
0
2
830. lim
ln
x
x
x
x
→
+
−
−
1
2
2
1
1
831. lim ln
x
x x
→
+
− −
(
)
1
1
1
1
825. lim
x
x
x
→
+
( )
0
2
2
826. lim tan
x
x
x
→
+
(
)
0
3
827. lim tan ln
x
x x
→
+
0
828. lim x
x
x
→∞
+
( )
1 1
Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L’Hôpital’s Rule
829. lim
x
x
x
e
x
→
+
+
(
)
0
2
830. lim
ln
x
x
x
x
→
+
−
−
1
2
2
1
1
831. lim ln
x
x x
→
+
− −
(
)
1
1
1
1
825. lim
x
x
x
→
+
( )
0
2
2
826. lim tan
x
x
x
→
+
(
)
0
3
827. lim tan ln
x
x x
→
+
0
828. lim x
x
x
→∞
+
( )
1 1