The table shows values of a function near

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

Problem

The table shows values of a function ff near x=1x=1.
x0.900.991.011.10
f(x)2.972.9973.0033.030
Determine the constant kk such that lim⁡x→1k f(x)=15\displaystyle \lim_{x\to 1} k\,f(x)=15. Give your answer as an exact numerical value.

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