Can someone work out the solutions for these because I dont know what to do to solve

1. U5: continuity to evaluate the following limits. - l I ' Ii 2 (:1) 1113.1: 18:: 3.1: + l (1)) lim :1: + 2 :rbJi 1' + 7 t 2 c lint ( ) ruz (3 ((1) 1.1151132 ain(s) +1 3 (e) liln el'r 1D? v'Il2 2. W'hat kind of discontinuity does f {I} = have at I = 5'? 3. Determine the points where the function illustrated below is discontinuous. "rhat kind of discontinuity do We have at each of those points? 5in(;r} I 2: {l 4. Find a 50 that is continuous. emu] +0 I gt) 5. Show that there is a root of f (I) = ln {2 sin {In betWeen 2 and 3 by applying the intermediate value theorem. 6. Sketch a graph of a continuous function with the following properties: f (D) = f (1} = U and f' {1}?) = -2 7. Compute the derivative of f (I) = 2:2 + E + 3 at 1: = 2. 8. Find the tangent line to the curve 5: = VI! + 2 at the point (vii?) . Sketch the curve and it's tangent line