In the following question, k =0.5.
I know how to prove the function but am unsure which part is the answer. Any help?
-1 ≤ sin(1/2x) ≤ 1, for any x ≠ 0
-xsqr ≤ xsqr sin(1/2x) ≤ xsqr, for any x ≠ 0
g(x)[= -xsqr] ≤ f(x) ≤ [xsqr =]h(x), for any x ∈ ℝ
As the functions satisfied all 3 conditions of the squeeze rule, f is continuous at 0.
p/s: Sorry, i can't seem to get the square symbol working properly.