Let . (i) Determine whether is continuous at . (ii) Classify the type of…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

h(x)=\dfrac{x^{2}\sin x}{(x-\pi)^{2}}

. (i) Determine whether

h

is continuous at

x=\pi

. (ii) Classify the type of discontinuity, if any, at

x=\pi