Q1) evaluate the limit 'lim x10 +100-10 x² x3 + 4x2 - lim 1-18 x² + 5 3 How does the function g(x) = x² sin (1/x2) behave near x = 0? Q2) Q1) evaluate the limit lim x-0 x² + 100 - 10 x² lim 1-18 x³ + 4x² x² + 5 - 3 How does the function g(x) = x² sin(1/x²) behave near x = 0? Q2)

lim as x goes to -3 of (4(2x+1)^2-100)/x+3

Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

Find the domain and sketch the graph of the function.

Suppose that f(x)=(x+2)(x-2)^2. (G) Use interval notation to indicate where f(x) is concave down. Concave dowWn. (H) Find all inflection points off if there are no inflection points, enter -1000. If there are more than one, enter them separated by commas. Inflection point(s) at x =

Solve for the convolution of g given that it is with itself (g*g) for g(x) = e-πt^2

3x 2х 2) Lim (- х-1 х+1 X → 00

lim (2x-5x) is x--2

Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and decreasing. Your answer should either be a single interval, such as "(0,1)", a comma separated list of intervals, such as "(-inf, 2), (3,4)" , or the word "none".

Find the limits a lim X→5 (x2-5x) / (x2-3x -10) b lim X→0  (1-square root (1-x2)) / x c  lim X→ 3/x-1 - 3/x2-x d. lim X→infinty  (4x3-7x+5) / 2x3+8)