Question

I think she's talking about squeeze theorem but i don't want to get it all wrong assuming that's what numerical limiting process is.

17.Use a numerical limiting process to evaluate the limit x-> 0" of the function g(x) 18. Use a numerical limiting process to evaluate the limit x-> 0* of the function g(x) n Coo.0153 19. What is lim in(x) x+0 19. What is lim Stn X+0 Liu sink 0.01465 sin(x) 20. Sketch a graph of g(x) x 13. Graph f(x) 14. The two values that are not in the domain of f(x) are discontinuities. Using your graph explain what is the difference in the two discontinuities of f(x)? 15. Explain how evaluating the limits as x-> 1 help you to determine the type of discontinuity. 16. Explain how evaluating the limits as x-> 2 help you to determine the type of discontinuity.

Answer 1

&18) To Fincl the lim SinI Numerically We need to Tabulate the data point approaching H HO fromn Left to right Note thaF While usin9 calculdtor to the valyes of Find Sinx, make sure tn Tadian (mode) , No+ Degree gre compu ted lse you may find enur f,cn=pC Sin - Sinx fauy O.99334 O 99 833 O.999983 0.19867 -O.0958 3 -d 00999 - o. 2 - o 0.9399833 99833 -0.O + 09983 + o. 01 o9933 4 O19 &67 Left to right Clearly fom Numerica) Limit values Aum Simoc um O.g999 ALSO 1um LO O.9999 From above lmit Sinz &(19) gina ) = LHL 1 uM RHL = LIm RHL= LHL 1 Since SInz 1 Sinz =gx) Graph of Sinx (20) 1 dr 3A 2.7T 37 -4A

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