Question

Evaluate or determine that the limit does not exist for each the limits
(a) lim x->d- f(x)
(b) lim x->d+ f(x)
(c) lim x->d f(x)
for the given function f and the number d

Answer 1

(a) \(\lim\limits_{x\to d^-} f(x)\)

b) \(\lim\limits_{x\to d^+} f(x)\)

(c) \(\lim\limits_{x\to d} f(x)\)

Answer 2

^ thank you !

Answer 3

(a), and (b) are one sided limits ,

find (a) by subbing d=1 into 6x-2,

Answer 4

for (b) sub into 5x-1

Answer 5

how come d=1 for (a) ?

Answer 6

so (a) and (b) = 4

Answer 7

if says d=1 in the piecewise definition

Answer 8

yes those one sided limits are equal to four, right

Answer 9

is (c) also 4 .. ?

Answer 10

i cant remember if the function has to be defined at that point in question or not,

Answer 11

Oh i see
thank you :D

Answer 12

@whpalmer4

Answer 13

The function doesn't have to be defined at the limit, as I recall, so long as the approach is the same from both sides — no matter what delta you choose, there's a value that is closer.

Answer 14

Not my best explanation, I'm afraid :-)

Answer 15

Thankss xD