Question

6)Determine the following limits, using ∞ or −∞ when appropriate, or state that they do not exist.

(1) lim x->4+  4/x-4

(2) lim x->4- 4/x-4

(3) lim x-> 4/x-4

7)Evaluate limx→∞ f(x) and limx→−∞ f(x) for the following function. Use ∞ or −∞ when appropriate. Then give the horizontal asymptote(s) of f (if any).

f(x)= x³+8/4x³+sqrt 64x⁶+4

Answer 1

(6)

(A)

we have to find

we can find right limit value

..........Answer

(B)

we have to find

we can find right limit value

..........Answer

(C)

Since, we got

Left limit is

Right limit is

Since, both are not equal

so,

.............Answer