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Proving that
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- considering the function: I. The value of a so that the limit of f(x) exists when x tends to 0 is: a= 2. the function( ) and keeps going( ) has a jump-type discontinuity( ) has a removable type discontinuity( ) has an infinite type discontinuityarrow_forwardUse properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim x→−1 f(x), where f(x) = x2 + 5 x if x ≤ −1 4x3 − x − 1 if x > −1arrow_forward(a) Use a graph of ______________ ______________f(x) = √3 x2 + 8x + 6 - √3 x2 + 3x + 1 to estimate the value of lim x->∞ f(x) to one decimalplace.(b) Use a table of values of f(x) to estimate the limit tofour decimal places.(c) Find the exact value of the limit.arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning