9.2 a) Plot[Piecewise[{{x+1, x<=1}, {x-1, x>1}}],{x,0,3}] 9.5 c) limit (cos x) / x where x to pi d) limit x*sin(1/x) where x to 0 g) limit(1/x-1/x^2) where x to 0 j) limit |x|/x where x to 0 9.6 c) limit (x^2+x)/(x^3+1) where x to -1 d) limit (x^2-2x-3)/(3-x) where x to 3 i) limit (5y^3+8y^2)/(3y^4-16y^2) where y to 0 j) limit (x+1)/(sqrt(x^2-1)) where x to -1 j2) limit (x+1)/(sqrt(x^2-4)) where x to -1 9.7 a) limit (sqrt(x)-1)/(x-1) where x to 1 f) limit (x-sqrt(x^2-x)) where x to infty plot (x-sqrt(x^2-x)) where x from 0 to 100 g) limit (x-sqrt(x^2-x)) where x to infty plot (x-sqrt(x^2-x)) where x from 0 to 100 9.8 a) limit 3x/(x-4) where x to infty plot 3x/(x-4) where x from 0 to 100 b) limit x^2/(x+1) where x to infty plot x^2/(x+1) where x from 0 to 100 d) limit sqrt(x^2+1)/(x) where x to -infty plot sqrt(x^2+1)/(x) where x from -1 to -100 h) limit 1/(x^2-7x+1) where x to infty plot 1/(x^2-7x+1) where x from 0 to 100 9.9 b) limit sin(4x)/x where x to 0 e) limit (1-cos x)/x^2 where x to 0 i) limit (sin(3x))/x where x to infty plot (sin(3x))/x where x from 1 to 100 l) limit (x/(1+x))^x where x to infty Plot[{e^-1,(x/(1+x))^x] m) limit (1-x)^(3/x) where x to 0 Plot[{e^-3,(1-x)^(3/x)}] n) limit ((x+1)/(x-2))^(3x-2) where x to -infty plot ((x+1)/(x-2))^(3x-2) plot e^9 where x from -10000 to 0 9.10 a) limit (2-sqrt(x+3))/(x^2+x-2) where x to 1 b) limit (x+2)/(1-sqrt(x+3)) where x to -2 d) limit (sqrt(x^2-4x)+x) where x to -infty e) limit (x^2*sin(1/x))/(sin x) where x to 0 i) limit (cos x)/(cos x -1) where x to 0