Question: Evaluate the following trigonometric limits if they exist. If any of them fail to exint, nay no and say why.(a)limx0sin3xsin5x(b)limx02xtanx(b)limx0arcsin3xarcsin5x(d)limx0xx-sin2x(c)limx01-cosxsin2x(9)limx0(1x2-1tanx)(g)limx02xsinx1-cosx(h)limx0secx-cosxx2(i)limx1(sin(x-1)x2+2x-3)(j)limx02sin4x+1-cosxx(k)limx3x2-9sin(x-3)(I)limxa4x2-2sinxx(mi)limx02xsinx1-cosx(a)limx0tan3x-sin3xx3(o)limx+sin-1(x1+2x)(i)limx5-tanxsecx
Evaluate the following trigonometric limits if they exist. If any of them fail to exint, nay no and say why.(a)limx0sin3xsin5x(b)limx02xtanx(b)limx0arcsin3xarcsin5x(d)limx0xx-sin2x(c)limx01-cosxsin2x(9)limx0(1x2-1tanx)(g)limx02xsinx1-cosx(h)limx0secx-cosxx2(i)limx1(sin(x-1)x2+2x-3)(j)limx02sin4x+1-cosxx(k)limx3x2-9sin(x-3)(I)limxa4x2-2sinxx(mi)limx02xsinx1-cosx(a)limx0tan3x-sin3xx3(o)limx+sin-1(x1+2x)(i)limx5-tanxsecx
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