calc sep 5 limits polynomials

calc sep 5 limits polynomials - Tanx=x Tanx-x=0 F(x)=...

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1) Lim to infiniti 2-x+x^2/ 3x^2+7-x = 1/3 2) Lim to neg inf 3x^3+x-7/ x^4-1 = 0 3) Lim to infiniti x^3-x+1/ x^2+1 = infiniti 4) Lim to inifiniti (1/x cos x) = 0 5) Prove that tanx = x has a solution on {pi/4, 3pi/4} using the IVT
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Unformatted text preview: Tanx=x Tanx-x=0 F(x)= tanx-x F(pi/4) = 1 pi/4 > 0 F(3pi/4) = -1-3pi/4 < 0 CANNOT USE IVT TANX NOT CONTINOUS 6) Lim to infiniti Sq(x 2 +5)-x / 2x+1 Sq(x 2 ) = x if x>eq 0 Sq(x^2+5)/x)-1 / 2 + 1/x...
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