given-that-a-function-hh-satisfies-1hx1cosx-1le-hxle1-cos-x-for-all-xx-near-00-d

Question

Given that a function $h$ satisfies $0 is less than or equal to j of x is less than or equal to 1 minus cosine x$ for all $x$ near $0$ , determine $lim over x right arrow 0 of j of x$ .

Accepted Answer

Answer

<math alttext="infinity" data-value="\infty"><semantics><mrow><mi>∞</mi></mrow><annotation>\infty</annotation></semantics></math>

Answer

<math alttext="negative infinity" data-value="-\infty"><semantics><mrow><mo>−</mo><mi>∞</mi></mrow><annotation>-\infty</annotation></semantics></math>

Answer

Given that a function hh satisfies 0≤j(x)≤1−cosx0\le j\left(x\right)\le1-\cos x for all xx near 00, determine limx→0j(x)\lim_{x\to0}j\left(x\right).

Given that a function $h$ satisfies $0 is less than or equal to j of x is less than or equal to 1 minus cosine x$ for all $x$ near $0$ , determine $lim over x right arrow 0 of j of x$ .