Question

Please help with finding limits of multi variable calculus!!!

Answer 1

To start, let's find the value of x as it gets closer to 0 from the positive side (we are working on the first example). To start, when x is 1, we have sin(2) - 2. This is approximately -1.965. Now, plugging in 2, we get (sin(4)-4)/8. This is -0.491. Now, we plug in 1/2 to get 8sin(1) - 8. This is approximately -7.86. Plugging in something like 1/1000, we will get -1965. Notice that there is no limit to it, so the answer is negative infinity, or DNE (IDK)