Evaluate each limit. Give exact answers.

Given that 1 and 4 are vertical asymtotes we have;

(a) -∞

(b) +∞

(c) +∞

(d) -∞

Step-by-step explanation:

(a) For the function;

We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)

Therefore, as the function approaches 4 from the left [lim (x → 4⁻)] gives;

(b) Similarly, we have;

We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)

Therefore, as the function approaches 4 from the right [lim (x → 4⁺)] gives;

(c)

We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)

Therefore, as the function approaches 1 from the left [lim (x → 1⁻)] gives;

(d) As the function approaches 1 from the right [lim (x → 1⁺)]

We have;

=

-4

step-by-step explanation:

answer: 48

just remember to use pemdas:

parentheses

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addition

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