(iii) Lim X-3 x +1 -13 +13 x - 3
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Answer:
Given,
x→∞
lim
25x
4
+13x
3
+14x
2
+17x+6
5x
2
Dividing the numerator of the fraction by x
2
which means dividing the denominator by x
4
as it under square root, we get
x→∞
lim
25+
x
13
+
x
2
14
+
x
3
17
+
x
4
6
5
Substituting x=∞ or
x
1
=0, we get
=
25+13(0)+14(0)+17(0)+6(0)
5
=
5
5
=1
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