1316 (i) Make a guess at the limit (if it exists) by evaluating the function at the

Chapter 1, Problem 16

(choose chapter or problem)

(i) Make a guess at the limit (if it exists) by evaluating the function at the specified -values. (ii) Confirm your conclusions about the limit by graphing the function over an appropriate interval. (iii) If you have a CAS, then use it to find the limit. [Note: For the trigonometric functions, be sure to put your calculating and graphing utilities in radian mode.]

(a) \(\lim _{x \rightarrow-1} \frac{\tan (x+1)}{x+1} ; x=0,-0.5,-0.9,-0.99,-0.999\)

(b) \(\lim _{x \rightarrow 0} \frac{\sin (5 x)}{\sin (2 x)} ; x=\pm 0.25, \pm 0.1, \pm 0.001, \pm 0.0001\)

Equation Transcription:

,

Text Transcription:

x

lim_x right arrow -1tan(x+)/x+1; x=0,-0.5,-0.9,-0.99,-0.999,

lim_x right arrow 0 sin (5x)/sin (2x); x=±0.25,±0.1,±0.001,±0.0001