Let a⊆r, let f: a⟶r and let c∈r be a cluster point of a. if lim┬(x⟶c)⁡f exists, and if |f| denotes the function defined for x∈a by |f|(x)≔|f(x)|, prove that |lim┬(x⟶c) |⁡f |=|lim┬(x⟶c)⁡|f|

Answer with Step-by-step explanation:

We are given that

Let f:

be  a cluster point of A.

exist let

If denotes the function and

for

We have to prove that

Substitute the value then we get

Hence proved.

x/7.50 = 15

x= 7.50 / 15 divide

step-by-step explanation:

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.