The formal definition of limit involves the idea that when we get close to theinput, we are guaranteed to be close to the output. However close we desire tobe to the output target1. We are constructing square tiles with width . The area is thus 2. Supposewe want to create square tiles with area 100 square inches.a) What side length do we need to make the tile to have exactly 100 squareinches?b) Evaluate the limit.lim102c) Suppose we cant perfectly construct tiles of area 100, but it is good enoughto be just close to 100. Find values for width of square, , where the areawill be between 99 and 101.d) We can use the formal idea of limit to state that the area of the square willbe within 1 of 100 as long as the width of the square is within ____ of 10inches. That is, how close does need to be to 10 to guarantee that 2iswithin 1 of 100?