Question

Given table,
X ; (1+x)^(1/x)
-0.5. ; 4
-0.1 ; 2.8680
-0.01 ; 2.7320
-0.001; 2.7196
0.001 ; 2.7169
0.01 ; 2.7048
0.1 ; 2.5937
0 5 ; 2.25

From the table, show that lim x->infinity (1+x)^(1/x)=e.

Plz someone show me the step how to show it based on the table. Hope u can read the given table bcus i don't know how to make a table in here.

Answer 1

actually is lim x->0 (1+x)^(1/x)=e. not lim x->infinity (1+x)^(1/x)=e.