Question

Examine the functions for continuity f(x)=x-5.

Answer 1

it is straight line which is continuous for all real values of x

Answer 2

Answer:

f is continuous of each x € R

Step-by-step explanation:

given : f(x)=x-5

since , x-5 is a polynomial so

f is defined for every real number c.

given function continuous at x=c , where c is a real number.

if , lim f(x) = f(c)

x-----0

LHS:- lim f(x). RHS:- f(c)= x-5

x-----0.

= lim x-5

x-----0

= c-5

since, lim = f(c)

x-----c is

so, f is continuous for x=c , where c is a real no.

f is continuous for all real no.

f is continuous of each x € R

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