Limits Involving Exponential and Logarithmic Expressions

Example (Limits of Exponential and Logarithmic Functions) Evaluate the limit limits involving exponential and logarithmic expressions _gr_1.gif]

    Solution. Since limits involving exponential and logarithmic expressions _gr_2.gif] is a continuous function and limits involving exponential and logarithmic expressions _gr_3.gif] we see  that
    
limits involving exponential and logarithmic expressions _gr_4.gif].

limits involving exponential and logarithmic expressions _gr_5.gif]

Example (Limits of Exponential and Logarithmic Functions) Evaluate the limit limits involving exponential and logarithmic expressions _gr_6.gif]

    Solution. Since limits involving exponential and logarithmic expressions _gr_7.gif] is a continuous function on limits involving exponential and logarithmic expressions _gr_8.gif] and limits involving exponential and logarithmic expressions _gr_9.gif] we see that
    
limits involving exponential and logarithmic expressions _gr_10.gif].

limits involving exponential and logarithmic expressions _gr_11.gif]

Example (Limits of Exponential and Logarithmic Functions) Evaluate the limit   limits involving exponential and logarithmic expressions _gr_12.gif]
    
    Solution. Since limits involving exponential and logarithmic expressions _gr_13.gif] is a continuous function and limits involving exponential and logarithmic expressions _gr_14.gif] we see  that
    
limits involving exponential and logarithmic expressions _gr_15.gif].
.
limits involving exponential and logarithmic expressions _gr_16.gif]

Example (Limits of Exponential and Logarithmic Functions) Evaluate the limit   limits involving exponential and logarithmic expressions _gr_17.gif]

    Solution. Since limits involving exponential and logarithmic expressions _gr_18.gif] is a continuous function and limits involving exponential and logarithmic expressions _gr_19.gif] we see  that
    
limits involving exponential and logarithmic expressions _gr_20.gif].
limits involving exponential and logarithmic expressions _gr_21.gif]

Cite this as:
Limits Involving Exponential And Logarithmic Expressions
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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