Lim x→pi |sinx| , where it is discontinuous at and the type of discontinuity ?
It would have a cusp discontinuity at all values of pi such as -2pi, -pi, 0, pi, 2pi, 3pi. Just think of a sine curve, then place every negative y value in the corresponding positive y value (all because of the abs value sign). The pi in front is just a vertical stretch, so it won’t have an effect on your answer. It is a cusp because, well it is. google cusp discontinuity if you need to.