32 Answered Questions for the topic Continuity And Limits

#### Continuity at a Point

Show that f(x) is continuous at x=a if and only if lim(h→0) f(a+h) = f(a).
How?

09/25/18

#### Find the values of a and b so that f(x) is continuous everywhere

Question: Find the values of a and b so that f(x) is continuous everywhere
- Just to be clear, f(x) is a piecewise function
f(x) = 3x-4, x > 4
a + √x, 0 < x ≤ 4
...
more

Continuity And Limits

09/23/18

#### How do I solve lim x→π/2 (√sinx - 1)/(x-π/2)?

How do I solve lim x→π/2 (√sinx - 1)/(x-π/2)?

Continuity And Limits

08/04/18

#### Evaluate limit X tends to zero bracket 1 upon x minus cot X

Help me...

Continuity And Limits

06/19/18

#### Find the value of a, b that makes the function continuous.

f(x)=
4x^-1 for x<-1
ax+b for -1≤x≤(1/2)
2x^-1 for x> (1/2)

06/14/18

#### Proving continuity of a differentiable function

Hi I have been given a function f:(a,b)→R, which is differentiable on (a,b). How do I use this information to prove that f is also continuous on (a,b)? Thanks.

06/10/18

#### Proving continuity of a differentiable function.

Hi
I have been given a function f:(a,b)→R, which is differentiable on (a,b). How do I use this information to prove that f is also continuous on (a,b)?
Thanks.

05/23/18

#### On what domain is the function f ( x ) = 2 x^2 − 3 x + 8 continuous?

on what domain is the function f(x)=2x2-3x+8 continuous?

Continuity And Limits

11/07/17

#### At what points (x, y, z) in space is the function f(x,y,z)=ln xyz continuous?

how to solve it...????steps....????method...?????

Continuity And Limits

11/07/17

#### ASK A QUESTION At what points (x, y, z) in space is the function f(x,y,z)=(x^2+y^2-1)^(1/2) continuous?

what's the procedure...??

Continuity And Limits

11/07/17

#### At what points (x, y, z) in space is the function f(x,y,z)=x^ 2 + y ^2 - 2z^2 continuous?

how to find this?????what is the procedure of this questiion??????

Continuity And Limits

11/06/17

#### is the square root of the absolute value of x uniformly continuous

is the square root of the absolute value of x uniformly continuous

Continuity And Limits Discontinuity

08/12/17

#### best description on figuring out if this is jump, infinite, continous, or removable

g(x)= {1/(x-2) if x<1
{2x-4 if x> or equal to 1

Continuity And Limits

08/12/17

#### if the following function is continous, then what is the value of b?

g(t)={(2t^2+2t-24)/(t-3) if t is not equal to 3
{b if t=3

Continuity And Limits

08/12/17

#### the best description concerning the continuity of g(x) is?

g(x)={1/(x+1) if x<1
{2x-1 if x> or equal to 1

Continuity And Limits Discontinuity

08/12/17

#### if the following is continuous, what is a

h(t)={2t+b if t<0
{2cos(t)-3 if 0< or equal to t < or equal to pi/2
{asin(t)+5b if t>pi/2

06/08/17

#### For what value of the constant c is the function f continuous on (-infinity, infinity)?

f(x)= cx^2 + 2x if x < 3 and
x^3 - cx if x ≥ 3

Continuity And Limits

05/04/16

#### For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is conti

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.
f(x) = (x^2 -...
more

Continuity And Limits

05/04/16

#### For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is conti

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.
f(x) = 5, x does...
more

Continuity And Limits

05/04/16

#### For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is conti

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.
f(x) = ln lx+3l,...
more

Continuity And Limits

05/02/16

#### For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is cont

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.
f(x) = 3+x,...
more

Continuity And Limits

05/02/16

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.
f(x) = x/lxl, a = 0

Continuity And Limits

05/02/16

For the given function, ƒ, determine if the function is discontinuous at a given point. State which condition of continuity fails or state the function is continuous at x = a.f(x) =...
more

02/01/16

#### Y=xtanx/x^2+1 when is it discontinuous

for me it is always continuous because theres the +1 in the denominator, however the back of my book says that the answer is all x except npi/2

10/05/15

#### Use the Intermediate Value Theroem to solve

A monk leaves the monastery at 7:00 am and takes his usual path to the top of the mountain, arriving at 7:00 pm. the following morning, he starts at 7:00 am at the top and takes the same path back...
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