19–22 - Estimating Limits Numerically and Graphically Use a table of values to estimate the limit. Then use a graphing device to confirm your result graphically. x + 4x 19. lim 20. lim (V9x + x - 3x) - 4x + 1 21. lim 22. lim 1+
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- When finding the limit lim x2 +5x+1/3-2x x-> infinity How do I find the limit?3. Calculate the limits(a) lim (1-cosx)/(5sinx) x->0 (b) lim (x^10)/(10^x) x->infFind limit, if it exists. If the limiting value is infinite indicated if its positive or negative a) lim where f(x)= 2x+9 if x is less than equal to 4 x->4+ x^3-6 if x is greater than 4
- lim f(x) x--> 3, where f(x) = {2(x+1), if x < 3 or 4, if x = 3, or x^2 - 1, if x > 3} piecewise.they have the limit as 8? why?limx → 1 (x-2) / (x-1)2 how do I calculate the following limit without using the L'Hospital's rule1. Broadly speaking, what are the Limit Laws, and why do they help us calculate limits?2. In Example 3, there is a step where the function x2 − 1x − 1is changed to x+ 1. But unlike the secondfunction, the first function is undefined at x = 1. How can we justify changing functions this way?3. Explain the flaw in the following calculation:limx→0x2sin(1/x) = (limx→0x2) · (limx→0sin(1/x)) = 0 · (limx→0sin(1/x)) = 0.