MATH1851_T2s - MATH1851 Tutorial 2 1(Ex1.2 Q66a Suppose we have the inequalities 1 x2 1 cos x 1 < < 2 2 24 x 2 when x is very close to zero what can

MATH1851_T2s - MATH1851 Tutorial 2 1(Ex1.2 Q66a Suppose...

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MATH1851 Tutorial 2 27-01-2016 1. (Ex1.2 Q66a) Suppose we have the inequalities12-x224<1-cosxx2<12whenxis very close to zero, what can you tell about the limit of1-cosxx2whenx0. 2. (Ex1.2 Q76) Supposeg(x)f(x)h(x) for allx̸= 2, and supposeg(x)→ -5 andh(x)→ -5 whenx2. Can we conclude anythingabout the values off, gandh? Couldf(2) = 0? limx2f(x) = 0? 1
3. (Ex 1.4 Q39) Find the limitlimx0tan 3xsin 8x.

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