Question: #1 Explain how we know that the function f(x)=sin(x)x2+xf(x)=sin(x)x2+xhas a root in the interval (1,2). #2 Find all vertical and horizontal asymptotes for h(t)=3t+t2t2t6h(t)=3t+t2t2t6. Explain

#1 Explain how we know that the function f(x)=sin(x)x2+xf(x)=sin(x)x2+xhas a root in the interval (1,2).

#2 Find all vertical and horizontal asymptotes for h(t)=3t+t2t2t6h(t)=3t+t2t2t6. Explain how you found each one using limits.

#3 Given f(x)=3x+1f(x)=3x+1Use the definition of a derivative at a point to find f ' (a) at the value of a=5.

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