Let {\f}, {\g} and {\h} be the real valued functions defined on \mathbb{R} as f(x)={\\begin{array}{c}\\\{x\end{array}/{{|x|}}, , x \neq 0 ; 1, , x=0}., g(x)={\\begin{array}{c}\\\{ \sin \\\(x+1)\end\frac{array}{(x+1)}, , x \neq-1 ; 1, , x=-1}. and h(x)=2[x]-f(x), where [x] is the greatest integer \leq x. Then the value of \lim_{x \to 1} g(h(x-1)) is [30-Jan-2023 Shift 2]

Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 9 of 100

Marks: +1, -0

Let f,g and h be the real valued functions defined on ℝ as f(x)={

‌

|x|

‌

x≠0

‌

x=0

., g(x)={

‌

sin‌(x+1)

(x+1)

‌

x≠−1

‌

x=−1

. and h(x)=2[x]−f(x), where [x] is the greatest integer ≤x. Then the value of

lim

x→1

g(h(x−1)) is

[30-Jan-2023 Shift 2]

Go to Question:

Prev Question

Next Question