8. lim (7? + 4) 9. lim V2x - x 1024 sin (x + h) - sin x 10. lim where x is a constant h x³ + 4x? + 4x + 3 3 - V5 + x 11. lim 12. lim x + 2x - 3 x41 - V5 -: Vx² + 8 – V5 - 4x * - 9) 16 13. lim 14. lim x + 1 - 4 x- 3 x-2 Va + x - Va 0 xVala + x) 3 tan x - &r 15. lim 16. lim 0 3x + sin 2x (x² – 9)(x² + 4) 3 21? - 3x - 9 sin x 17. lim 18. lim /2 cos x Vi - Va -(;-) sin 19. lim 20. lim a Vr - Va =/3 2 cos x - 1

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.