Question: 3 . Evaluate the following limits , if they exist: ( a ) lim x ! 1 3 x 3 4 x + 7 (

3. Evaluate the following limits, if they exist: (a) lim x!13x 34x +7(b) lim x!0 sin(3x)1 cos(2x)+1(c) lim x!1 x 3+5x 2+11x+7 x23x4(d) lim x!01 x p 1+x 1 x (e) lim x!3 p x+6x x33x2(f) limx!143 x3 and lim x!143 x3. What can you conclude from your answers in terms of asymptotes? (g) lim x!16x 238x3+4x+8 and lim x!18x 3+4x+86x23(h) limx!13 ln x e x (i) lim x!0

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