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Unformatted text preview: 3 x 2 + 3 x 23 ; (b) lim x → 1 x 22 x + 1 x 3x ; (c) lim x → 1 x1 √ x1 . 5. We deﬁne lim x → a f ( x ) = + ∞ to mean that ( ∀ M ∈ R )( ∃ δ > 0)( ∀ x ∈ D ( f )) h ( <  xa  < δ ) ⇒ ( f ( x ) > M ) i . (a) Prove that lim x → 3 1 ( x3) 2 = + ∞ . 2 (b) Deﬁne lim x → a + f ( x ) = + ∞ and prove that lim x → 0+ 1 x = + ∞ ....
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This note was uploaded on 02/25/2010 for the course MATHEMATIC 11007 taught by Professor Spyros during the Winter '10 term at Bristol Community College.
 Winter '10
 Spyros

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