Evaluate the following limits or show the limit does not exist. Use the algebrai

Question

Evaluate the following limits or show the limit does not exist. Use the algebraic methods and the trigonometric limits discussed in this lesson. Show the steps used to find the limits. lim x rightarrow 4 x2 - 16 / x - 4 lim x rightarrow 0 1 / x + 3 - 1 / 3 / x lim x rightarrow -1 2x2 + x - 1 / 3x2 + 2x - 1 lim x rightarrow 0 tan x / x lim x rightarrow 0 cos x - sin x - 1 / x (Bonus question: worth 10 points. Total points for assignment not to exceed 100. ) lim x rightarrow 0 +

Explanation / Answer

lim (x->4) (x^2-16)/(x-4) x^2-16=(x+4)(x-4) =lim (x->4) (x+4)(x-4)/(x-4)neutralize each (x-4) =lim (x->4) (x+4) putting x=4 =4+4 =8

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