Please give me answer fast
Answers
Answer:
refer the attachment
Explanation:
We will need the definition of continuity which is that:
f
(
x
)
is continuous at
x
=
a
⇔
lim
x
→
a
f
(
x
)
=
f
(
a
)
So, in order to prove that the function defined by:
f
(
x
)
=
x
sin
(
1
x
)
Is continuous at
x
=
0
we must show that
lim
x
→
0
x
sin
(
1
x
)
=
f
(
0
)
This leads is to an immediate problem as
f
(
0
)
is clearly undefined.
This is, however, not the end of the problem. If we look at the graph of the function, it certainly looks as though the function
f
(
x
)
is continuous:
graph{xsin(1/x) [-0.2034, 0.2068, -0.1015, 0.1036]}
Answer:
A food chain explains which organism eats another organism in the environment. The food chain is a linear sequence of organisms where nutrients and energy is transferred from one organism to the other. This occurs when one organism consumes another organism. It begins with producer organism, follows the chain and ends with decomposer organism. After understanding the food chain, we realise how one organism is dependent upon another species for survival.