31 Answered Questions for the topic Continuity And Limits

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

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)?

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

Help me...

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)

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.

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.

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?

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

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

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??????

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

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

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

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  

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    

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

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

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

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

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

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

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/lxl, a = 0

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) =... more

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

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... more

What value for f(0) would make f(x) continuous at x=0

               5/x + (-4x+5)/x(x-1) if x≠0,1 Let f(x)=   7   if x=0   What value for f(0) would make f(x) continuous at x=0 Must redefine f(0)=?   Please list all steps... plzzz!!!
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