Good afternoon, can you help me with those questions

1.

Find lim f(x) for the given function and value of c. x-ct 6x 6x + 6 f(x ) = , C =6 x + 1 X 1 2 + y . . . 6x 6x + 6 lim X + 1 2 x-+6+ X + X (Type a simplified fraction. )X + 5 At what points is the function y = 2 continuous? X - 13x + 40 . . . Describe the set of x-values where the function is continuous, using interval notation. (Simplify your answer. Type your answer in interval notation. )Find the following limit. Is the function continuous at the point being approached? lim sec (y sec 2y - tan ?y - 1) y -+ 1 lim sec (y sec 2y - tan 2y - 1) = (Simplify your answer.) y -+ 1 Is the function continuous at the point being approached? Choose the correct answer below. O Yes O No(a) Find the slope of the curve y = x - 7x at the given point P(1, - 6) by finding the limiting value of the slope of the secants through P. (b) Find an equation of the tangent line to the curve at P(1, - 6). (a) The slope of the curve at P(1, - 6) is (b) The equation of the tangent line to the curve at P(1, - 6) is y =.19 - VX - 39 Find lim X- - 20 X + 20 19- VX - 39 lim x + 20 X- - 20 (Type an integer or a simplified fraction. )Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. y = vx, P(9, 3) a. The slope of the curve at the given point is (Simplify your answer.) b. The equation of the tangent line at the given point is