26:I[49711,["/_next/static/chunks/0t1_7x_uuxe34.js","/_next/static/chunks/0~ta-e_o9dqvm.js","/_next/static/chunks/115lbazto1qq7.js","/_next/static/chunks/0vq81gpimz.3f.js","/_next/static/chunks/0jal2z51-yxb_.js"],"default"] 27:T517,Approximating a finite limit is all about asking, "As we get closer and closer to our desired $x$-value (infinitely closer, ideally) from both directions, what's happening to our $y$-values? Do they appear to be approaching a finite number?" Our $x$-value is increasing in constant steps of $1$ unit. This way, we are not getting clearly closer to any particular value. The differences between consecutive $x$-values should become smaller and smaller as we get close to $x=-6$. **The $x$-values aren't getting closer and closer to $-6$. Therefore, the table isn't appropriate for approximating $\lim\limits_{x \to -6} h(x)$.** --- Licensing information: The question comes from Khan Academy, and is licensed under a creative commons license. The original exercise containing this question can be found here: Creating tables for approximating limits. Note: All Khan Academy content is available for free at www.khanacademy.org.28:T4fd,Approximating a finite limit is all about asking, "As we get closer and closer to our desired $x$-value (infinitely closer, ideally) from both directions, what's happening to our $y$-values? Do they appear to be approaching a finite number?" Table B does a nice job getting closer and closer to $x=2$ from both sides. Table A does not make it clear which $x$-value we are approaching, because the $x$-values increment in constant steps instead of smaller and smaller steps as they near the desired value. Table C only approaches $x=2$ from one side. **Table B is best approximating the limit.** --- Licensing information: The question comes from Khan Academy, and is licensed under a creative commons license. The original exercise containing this question can be found here: Creating tables for approximating limits. Note: All Khan Academy content is available for free at www.khanacademy.org.29:T4bb,Approximating a finite limit is all about asking, "As we get closer and closer to our desired $x$-values (infinitely closer, ideally) from both directions, what's happening to our $y$-values? Do they appear to be approaching a finite number?" Table C does a nice job getting closer and closer to $x = -8$ from both sides. Table B does not make it clear which $x$-value we are approaching, because the $x$-values increment in constant steps instead of smaller and smaller steps as they near the desired value. Table A only approaches $x = -8$ from one side. **Table C is best for approximating the limit**. --- Licensing information: The question comes from Khan Academy, and is licensed under a creative commons license. The original quiz containing this question can be found here: Quiz 1. Note: All Khan Academy content is available for free at www.khanacademy.org. 2a:T46e,Approximating a finite limit is all about asking,