(*^

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                  Estimation and Limits -- Limits as x -->Infinity

The following cell illustrates how Mathematica   can be used to investigate the behavior of a function  f(t)  for large positive values of  t  and for large negative values of  t.  Evaluate the cell now.
;[s]
11:0,2;66,0;103,1;114,0;171,2;176,0;208,2;209,0;245,2;246,0;249,3;272,-1;
4:5,13,9,Times,0,12,0,0,0;1,13,9,Times,2,12,0,0,0;4,13,9,Times,1,12,0,0,0;1,13,9,Times,1,12,65535,0,0;
:[font = input; preserveAspect; ]
f[t_] := (3 + 2^t) / (1 + 3^t)

Plot[f[t], {t, -10, 10}]

f[0.0]
f[10.0]
f[100.0]

f[-10.0]
f[-100.0]
^*)