WitrynaHence the given function is not continuous at the point x = x 0. Question 2 : Consider the function f (x) = x sin π/x What value must we give f(0) in order to make the … WitrynaA continuous function of a continuous function is continuous. Where is h(x) = sinx2 continuous? Both x2 and sin are continuous everywhere (on (-1;1)). Thus h(x) is continuous everywhere. Where is h(x) = ln(1 +cosx) continuous? The functions 1, cos (and their sum) and ln are on their domain. Thus h(x) is continuous on its domain: …

The values of a,b,c for which the function f(x)={xsin(a+1)x+sinx ,x0 is

WitrynaSolution. It has to be proved first that g(x)=∣x∣ and h(x)=sinx are continuous functions. Clearly, g is defined for all real numbers. Let c be a real number. From the above … WitrynaLet a ∈ R be such that the function f(x) = ,α,{cos-1(1-{x}2)sin-1(1-{x}){x}-{x}3,x≠0α,x=0 is continuous at x = 0, where {x} = x – [x], [x] is the greatest integer less than or equal … mouse right click hold not working

Prove that sine function is continuous at every real number. - Toppr

WitrynaIf f n (x) be continuous at x = 0, f (0) = 0, f ′ (0) = 0 and x → 0 lim sin 2 x 2 f (x) − 3 a f (2 x) + b f (8 x) exists. Then the values of a and b are Medium Witryna8 maj 2016 · The function, as given, is not continuous at 0 as 0sin( 1 0) is not defined. However, we may make a slight modification to make the function continuous, … heartspace horse sanctuary redmond oregon