Suppose we know the following information about the function  𝑓 ( 𝑥 ) :  𝑓 ( − 1 ) = − 4 , 𝑓 ( 2.5 ) = 3 , 𝑓 ( 𝜋 ) = 2.4 and 𝑓 ( 1 ) does not exist lim 𝑥 ⟶ − 1 − 𝑓 ( 𝑥 ) = − 4 lim 𝑥 ⟶ − 1 + 𝑓 ( 𝑥 ) = − 4 lim 𝑥 ⟶ 2.5 + 𝑓 ( 𝑥 ) = − ∞ lim 𝑥 ⟶ 𝜋 𝑓 ( 𝑥 ) = 0 lim 𝑥 ⟶ 8 − 𝑓 ( 𝑥 ) = 3 lim 𝑥 ⟶ 8 + 𝑓 ( 𝑥 ) = 3.01   What does this information tell us about the continuity of 𝑓 ( 𝑥 ) ? At 𝑥 = − 1 , 𝑓 ( 𝑥 ) is/has a [ Select ] jump discontinuity infinite discontinuity continuous discontinuous, but there is not enough information to tell which type there is not enough information to tell anything removable discontinuity . At 𝑥 = 1 , 𝑓 ( 𝑥 )  is/has a [ Select ] infinite discontinuity continuous there is not enough information to tell anything jump discontinuity removable discontinuity discontinuous, but there is not enough information to tell which type . At 𝑥 = 2.5 , 𝑓 ( 𝑥 )  is/has a [ Select ] continuous discontinuous, but there is not enough information to tell which type removable discontinuity jump discontinuity there is not enough information to tell anything infinite discontinuity . At 𝑥 = 𝜋 , 𝑓 ( 𝑥 )  is/has a [ Select ] there is not enough information to tell anything discontinuous, but there is not enough information to tell which type jump discontinuity continuous infinite discontinuity removable discontinuity . At 𝑥 = 8 , 𝑓 ( 𝑥 )  is/has a [ Select ] jump discontinuity there is not enough information to tell anything continuous removable discontinuity infinite discontinuity discontinuous, but there is not enough information to tell which type .